The COMEDK (Consortium of Medical, Engineering, and Dental Colleges of Karnataka) exam is an essential entrance test for students aspiring to study engineering in Karnataka. Each year, thousands of students from across India compete in this highly selective exam to secure a place in one of Karnataka’s prestigious engineering institutions. COMEDK offers admission opportunities in numerous private engineering colleges, making it an ideal choice for students who want access to quality education and solid placement prospects within Karnataka.
For aspiring engineers, achieving a high rank in COMEDK requires a well-thought-out preparation strategy. Unlike other exams, COMEDK has its own unique exam pattern, syllabus, and scoring system. Therefore, creating a structured study plan that addresses these specific requirements can significantly boost your chances of success. In this comprehensive guide, we’ll explore the COMEDK exam pattern, provide insights into the syllabus, and discuss effective study plans, recommended resources, and the importance of mock tests.
Understanding the COMEDK Exam Pattern and Syllabus
The first step to effective COMEDK preparation is understanding the exam’s pattern and syllabus. This knowledge will guide your study efforts and help you focus on the most relevant topics, ensuring that you’re well-prepared for every section.
COMEDK Exam Structure: Subject Weightage and Question Types
COMEDK is a computer-based test that consists entirely of multiple-choice questions (MCQs). The exam tests students on three core subjects: Physics, Chemistry, and Mathematics. Each section has equal weight, making it important to give each subject adequate attention. Below is an overview of the exam structure:
- Total Questions: 180 questions in total, with 60 questions in each subject (Physics, Chemistry, and Mathematics).
- Total Marks: 180 marks (1 mark for each question).
- Exam Duration: 3 hours (180 minutes).
- Marking Scheme: Each correct answer awards 1 mark, and there is no negative marking for incorrect answers.
Since all three subjects are equally weighted, it’s crucial to aim for a balanced preparation strategy. Physics, Chemistry, and Mathematics each carry a maximum of 60 marks, so focusing too heavily on one subject at the expense of others could limit your overall score.
Detailed Breakdown of Physics, Chemistry, and Math Syllabus
The COMEDK syllabus primarily aligns with the 11th and 12th-grade syllabus prescribed by the Karnataka State Board and CBSE, covering essential topics in Physics, Chemistry, and Mathematics. Here’s a breakdown of key topics for each subject to help you prioritise your study plan:
Physics: Focus on Mechanics, Electromagnetism, Thermodynamics, Modern Physics, and Optics. Mechanics, which includes topics like Newton’s Laws, Work, Energy, and Power, and Electromagnetism often carry higher weightage, so mastering these areas can be particularly beneficial. Additional topics such as SHM (Simple Harmonic Motion), Waves, and Ray Optics are also important and should be thoroughly revised.
Class XI Syllabus
| Unit | Topic | Sub-topics |
| Unit I | Physical World and Measurement | Units and Measurements: Need for measurement, systems of units, SI units, fundamental and derived units, Significant figures, Dimensions of physical quantities, dimensional analysis, and its applications. |
| Unit II | Kinematics | Motion in a Straight Line: Frame of reference, Motion in a straight line, Elementary concepts of differentiation and integration for describing motion, Uniform and non-uniform motion, average speed and instantaneous velocity, Uniformly accelerated motion, velocity-time and position-time graphs, Relations for uniformly accelerated motion (graphical treatment). , Motion in a Plane: Scalar and vector quantities, Position and displacement vectors, general vectors and their notations, equality of vectors, multiplication of vectors by a real number, addition and subtraction of vectors, Unit vector, Resolution of a vector in a plane – rectangular components, Scalar and Vector product of vectors, Motion in a plane, Cases of uniform velocity and uniform acceleration, projectile motion, Uniform circular motion. |
| Unit III | Laws of Motion | Intuitive concept of force, Inertia, Newton’s first law of motion, momentum and Newton’s second law of motion, impulse, Newton’s third law of motion, Law of conservation of linear momentum and its applications, Equilibrium of concurrent forces, Static and kinetic friction, laws of friction, rolling friction, lubrication, Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on a banked road). |
| Unit IV | Work, Energy, and Power | Work done by a constant force and a variable force, kinetic energy, work-energy theorem, power, Notion of potential energy, potential energy of a spring, conservative forces: non-conservative forces, motion in a vertical circle, elastic and inelastic collisions in one and two dimensions. |
| Unit V | Motion of System of Particles and Rigid Body | Centre of mass of a two-particle system, momentum conservation and centre of mass motion, Centre of mass of a rigid body, centre of mass of a uniform rod, Moment of a force, torque, angular momentum, laws of conservation of angular momentum and its applications, Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions, Moment of inertia, radius of gyration, Values of moments of inertia for simple geometrical objects (no derivation). |
| Unit VI | Gravitation | Kepler’s laws of planetary motion, The universal law of gravitation, Acceleration due to gravity and its variation with altitude and depth, Gravitational potential energy and gravitational potential, Escape velocity, and Orbital velocity of a satellite. |
| Unit VII | Properties of Bulk Matter | Mechanical Properties of Solids: Elastic behaviour, Stress-strain relationship, Hooke’s law, Young’s modulus, bulk modulus, shear modulus of rigidity (qualitative idea only), Poisson’s ratio, elastic energy. , Mechanical Properties of Fluids: Pressure due to a fluid column, Pascal’s law and its applications (hydraulic lift and hydraulic brakes), Effect of gravity on fluid pressure, Viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow, critical velocity, Bernoulli’s theorem and its simple applications, Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise. , Thermal Properties of Matter: Heat, temperature, thermal expansion; thermal expansion of solids, liquids and gases, Anomalous expansion of water, specific heat capacity, Cp, Cv – calorimetry, change of state – latent heat capacity, Heat transfer-conduction, convection, and radiation, thermal conductivity, Qualitative ideas of Blackbody radiation, Wein’s displacement Law, Stefan’s law. |
| Unit VIII | Thermodynamics | Thermal equilibrium and definition of temperature (zeroth law of thermodynamics), Heat, work, and internal energy, First law of thermodynamics, Second law of thermodynamics: gaseous state of matter, change of condition of gaseous state – isothermal, adiabatic, reversible, irreversible, and cyclic processes. |
| Unit IX | Behaviour of Perfect Gases and Kinetic Theory of Gases | Equation of state of a perfect gas, work done in compressing a gas, Kinetic theory of gases – assumptions, the concept of pressure, Kinetic interpretation of temperature, rms speed of gas molecules, degrees of freedom, the law of equipartition of energy (statement only) and application to specific heat capacities of gases, the concept of mean free path, Avogadro’s number. |
| Unit X | Oscillations and Waves | Oscillations: Periodic motion – time period, frequency, displacement as a function of time, Periodic functions and their application, Simple harmonic motion (S.H.M) and its equation, phase, oscillations of a loaded spring-restoring force and force constant, energy in S.H.M. Kinetic and potential energies, simple pendulum derivation of expression for its time period. Waves: Wave motion, Transverse and longitudinal waves, speed of travelling wave, Displacement relation for a progressive wave, Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats. |
Class XII Syllabus
| Unit | Topic | Sub-topics |
| Unit I | Electrostatics | Electric Charges and Fields: Electric Charges, Conservation of charge, Coulomb’s law force between two point charges, forces between multiple charges, superposition principle and continuous charge distribution, Electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in uniform electric field, Electric flux, statement of Gauss’s theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside). , Electrostatic Potential and Capacitance: Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges, equipotential surfaces, the electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field, Conductors and insulators, free charges and bound charges inside a conductor, Dielectrics and electric polarisation, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor (no derivation, formulae only). |
| Unit II | Current Electricity | Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current, Ohm’s law, V-I characteristics (linear and nonlinear), electrical energy and power, electrical resistivity and conductivity, temperature dependence of resistance, Internal resistance of a cell, potential difference and emf of a cell, combination of cells in series and in parallel, Kirchhoff’s laws, Wheatstone bridge. |
| Unit III | Magnetic Effects of Current and Magnetism | Moving Charges and Magnetism: Concept of the magnetic field, Oersted’s experiment, Biot-Savart law and its application to current carrying circular loop, Ampere’s law and its applications to an infinitely long straight wire, Straight solenoid (only qualitative treatment), Force on a moving charge in uniform magnetic and electric fields, Force on a current-carrying conductor in a uniform magnetic field, Force between two parallel current-carrying conductors – definition of ampere, Torque experienced by a current loop in uniform magnetic field, Current loop as a magnetic dipole and its magnetic dipole moment, Moving coil galvanometer – its current sensitivity and conversion to ammeter and voltmeter. , Magnetism and Matter: Bar magnet, bar magnet as an equivalent solenoid (qualitative treatment only), Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis (qualitative treatment only), Torque on a magnetic dipole (bar magnet) in a uniform magnetic field (qualitative treatment only), magnetic field lines, Magnetic properties of materials-Para-, dia- and ferromagnetic substances with examples, Magnetization of materials, effect of temperature on magnetic properties. |
| Unit IV | Electromagnetic Induction and Alternating Currents | Electromagnetic Induction: Faraday’s laws, induced EMF and current, Lenz’s Law, Self and mutual induction. Alternating Current: Alternating currents, peak and rms value of alternating current/voltage, reactance and impedance, LCR series circuit (phasors only), resonance, power in AC circuits, wattless current, AC generator, and Transformer. |
| Unit V | Electromagnetic Waves | Basic idea of displacement current, Electromagnetic waves and their characteristics, Transverse nature of electromagnetic waves (Qualitative ideas only), Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses. |
| Unit VI | Optics | Ray Optics and Optical Instruments: Ray Optics: Reflection of light, spherical mirrors, mirror formula, Refraction of light, total internal reflection and optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lens maker’s formula, Magnification, power of a lens, a combination of thin lenses in contact, Refraction of light through a prism. , Optical Instruments: Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers. , Wave Optics: Wavefront and Huygens principle, reflection and refraction of plane wave at a plane surface using wavefronts, Proof of laws of reflection and refraction using Huygens principle, Interference, Young’s double slit experiment and expression for fringe width (No derivation final expression only), coherent sources and sustained interference of light, Diffraction due to a single slit, width of central maximum (qualitative treatment only). |
| Unit VII | Dual Nature of Matter and Radiation | Dual nature of radiation: Photoelectric effect, Hertz and Lenard’s observations, Einstein’s photoelectric equation – particle nature of light, Experimental study of photoelectric effect. , Matter waves: Wave nature of particles, de Broglie relation. |
| Unit VIII | Atoms & Nuclei | Atoms: Alpha-particle scattering experiment, Rutherford’s model of an atom, Bohr model of a hydrogen atom, Expression for radius of nth possible orbit, velocity and energy of the electron in this orbit, hydrogen line spectra (qualitative treatment only). , Nuclei: Composition and size of nucleus, nuclear force, Mass-energy relation, mass defect, binding energy per nucleon and its variation with mass number, nuclear fission, nuclear fusion. |
| Unit IX | Electronic Devices | Semiconductor Electronics: Materials, Devices and Simple Circuits: Energy bands in solids, conductors, insulators and semiconductors (Qualitative ideas only), Intrinsic and extrinsic semiconductors – p and n type, p-n junction, Semiconductor diode – I-V characteristics in forward and reverse bias, application of junction diode – diode as a rectifier. |
Chemistry: The Chemistry section is divided into three parts: Organic, Inorganic, and Physical Chemistry. Organic Chemistry topics like Hydrocarbons, Alcohols, Phenols, and Ethers typically have a substantial number of questions. In Inorganic Chemistry, focus on Chemical Bonding, Coordination Compounds, and Periodicity. Physical Chemistry topics, including Thermodynamics, Equilibrium, and Solutions, are also frequently tested and should be given significant study time.
CLASS XI Syllabus
| Unit | Topic | Sub-topics |
| Unit 1 | Some Basic Concepts of Chemistry | General Introduction: Importance and scope of Chemistry, Nature of matter, laws of chemical combination, Dalton’s atomic theory: concept of elements, atoms and molecules, Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry, and calculations based on stoichiometry. |
| Unit 2 | Structure of Atom | Discovery of Electron, Proton, and Neutron, atomic number, isotopes and isobars, Thomson’s model and its limitations, Rutherford’s model and its limitations, Bohr’s model and its limitations, concept of shells and subshells, dual nature of matter and light, de Broglie’s relationship, Heisenberg uncertainty principle, concept of orbitals, quantum numbers, shapes of s, p, and d orbitals, rules for filling electrons in orbitals – Aufbau principle, Pauli’s exclusion principle, and Hund’s rule, electronic configuration of atoms, stability of half-filled and completely filled orbitals. |
| Unit 3 | Classification of Elements and Periodicity in Properties | Significance of classification, brief history of the development of the periodic table, modern periodic law and the present form of the periodic table, periodic trends in properties of elements – atomic radii, ionic radii, inert gas radii, Ionization enthalpy, electron gain enthalpy, electronegativity, valency, Nomenclature of elements with atomic number greater than 100. |
| Unit 4 | Chemical Bonding and Molecular Structure | Valence electrons, ionic bond, covalent bond, bond parameters, Lewis’s structure, polar character of covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory, concept of hybridization involving s, p, and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only), Hydrogen bond. |
| Unit 5 | Chemical Thermodynamics | Concepts of System and types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions, First law of thermodynamics – internal energy and enthalpy, heat capacity and specific heat, measurement of ΔU and ΔH, Hess’s law of constant heat summation, enthalpy of bond dissociation, combustion, formation, atomization, sublimation, phase transition, ionisation, solution and dilution, Second law of Thermodynamics (brief introduction), Introduction of entropy as a state function, Gibb’s energy change for spontaneous and non-spontaneous processes, criteria for equilibrium, Third law of thermodynamics (brief introduction). |
| Unit 6 | Equilibrium | Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibrium – Le Chatelier’s principle, ionic equilibrium – ionisation of acids and bases, strong and weak electrolytes, degree of ionisation, ionisation of polybasic acids, acid strength, concept of pH, hydrolysis of salts (elementary idea), buffer solution, Henderson Equation, solubility product, common ion effect (with illustrative examples). |
| Unit 7 | Redox Reactions | Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions, in terms of loss and gain of electrons and change in oxidation number, applications of redox reactions. |
| Unit 8 | Organic Chemistry – Some Basic Principles and Techniques | General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds, Electronic displacements in a covalent bond: inductive effect, electromeric effect, resonance, and hyperconjugation, Homolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carbanions, electrophiles and nucleophiles, types of organic reactions. |
| Unit 9 | Hydrocarbons | Classification of Hydrocarbons: , Aliphatic Hydrocarbons: Alkanes – Nomenclature, isomerism, conformation (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis. Alkenes – Nomenclature, structure of double bond (ethene), geometrical isomerism, physical properties, methods of preparation, chemical reactions: addition of hydrogen, halogen, water, hydrogen halides (Markovnikov’s addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition. Alkynes – Nomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: acidic character of alkynes, addition reaction of hydrogen, halogens, hydrogen halides, and water. , Aromatic Hydrocarbons: Introduction, IUPAC nomenclature, benzene: resonance, aromaticity, chemical properties: mechanism of electrophilic substitution, Nitration, sulphonation, halogenation, Friedel Crafts alkylation and acylation, directive influence of the functional group in monosubstituted benzene, Carcinogenicity and toxicity. |
CLASS XII Syllabus
| Unit | Topic | Sub-topics |
| Unit 1 | Solutions | Types of solutions, expression of concentration of solutions of solids in liquids, the solubility of gases in liquids, solid solutions, Raoult’s law, colligative properties – relative lowering of vapour pressure, the elevation of boiling point, depression of freezing point, osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular mass, Van’t Hoff factor. |
| Unit 2 | Electrochemistry | Redox reactions, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells, Relation between Gibbs energy change and EMF of a cell, conductance in electrolytic solutions, specific and molar conductivity, variations of conductivity with concentration, Kohlrausch’s Law, electrolysis and law of electrolysis (elementary idea), dry cell – electrolytic cells and Galvanic cells, lead accumulator, fuel cells, corrosion. |
| Unit 3 | Chemical Kinetics | Rate of a reaction (Average and instantaneous), factors affecting rate of reaction: concentration, temperature, catalyst, order and molecularity of a reaction, rate law and specific rate constant, integrated rate equations and half-life (only for zero and first-order reactions), concept of collision theory (elementary idea, no mathematical treatment), activation energy, Arrhenius equation. |
| Unit 4 | d and f Block Elements | General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first-row transition metals – metallic character, ionisation enthalpy, oxidation states, ionic radii, colour, catalytic property, magnetic properties, interstitial compounds, alloy formation, preparation and properties of K2Cr2O7 and KMnO4, Lanthanoids – Electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences, Actinides – Electronic configuration, oxidation states and comparison with lanthanide. |
| Unit 5 | Coordination Compounds | Coordination compounds – Introduction, ligands, coordination number, colour, magnetic properties, and shapes, IUPAC nomenclature of mononuclear coordination compounds, Bonding, Werner’s theory, VBT, and CFT; structure and stereoisomerism, the importance of coordination compounds (in qualitative analysis, extraction of metals and biological system). |
| Unit 6 | Haloalkanes and Haloarenes | Haloalkanes: Nomenclature, nature of C–X bond, physical and chemical properties, optical rotation mechanism of substitution reactions. Haloarenes: Nature of C–X bond, substitution reactions (Directive influence of halogen in monosubstituted compounds only), Uses and environmental effects of – dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT. |
| Unit 7 | Alcohols, Phenols, and Ethers | Alcohols: Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only), identification of primary, secondary, and tertiary alcohols, mechanism of dehydration, uses with special reference to methanol and ethanol. Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophilic substitution reactions, uses of phenols. Ethers: Nomenclature, methods of preparation, physical and chemical properties, uses. |
| Unit 8 | Aldehydes, Ketones, and Carboxylic Acids | Aldehydes and Ketones: Nomenclature, nature of carbonyl group, methods of preparation, physical and chemical properties, mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes, uses. Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties, uses. |
| Unit 9 | Amines | Amines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, and identification of primary, secondary, and tertiary amines. Diazonium salts: Preparation, chemical reactions and importance in synthetic organic chemistry. |
| Unit 10 | Biomolecules | Carbohydrates – Classification (aldoses and ketoses), monosaccharides (glucose and fructose), D-L configuration oligosaccharides (sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen); Importance of carbohydrates. Proteins – Elementary idea of amino acids, peptide bonds, polypeptides, proteins, structure of proteins – primary, secondary, tertiary structure and quaternary structures (qualitative idea only), denaturation of proteins; enzymes. Hormones – Elementary idea excluding structure. Vitamins – Classification and functions. Nucleic Acids: DNA and RNA. |
Mathematics: Mathematics for COMEDK includes Algebra, Calculus, Coordinate Geometry, Trigonometry, and Probability. Algebra (covering complex numbers, quadratic equations, and sequences) and Calculus (differentiation, integration, and limits) often carry more weight, so prioritise these sections. Coordinate Geometry, which includes topics like circles, parabolas, and ellipses, is also an essential area to cover.
CLASS XI Syllabus
| Unit | Topic | Sub-topics |
| Unit I | Sets and Functions | 1. Sets: Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement. , 2. Relations & Functions: Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets, Cartesian product of the set of reals with itself (up to R x R x R), Definition of relation, pictorial diagrams, domain, co-domain and range of a relation, Function as a special type of relation, Pictorial representation of a function, domain, co-domain and range of a function, Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs, Sum, difference, product and quotients of functions. , 3. Trigonometric Functions: Positive and negative angles, Measuring angles in radians and in degrees and conversion from one measure to another, Definition of trigonometric functions with the help of unit circle, Truth of the identity sin²x + cos²x = 1, for all x, Signs of trigonometric functions, Domain and range of trigonometric functions and their graphs, Expressing sin(x±y) and cos(x±y) in terms of sinx, siny, cosx & cosy and their simple applications, Deducing identities like the following: |
| Unit II | Algebra | 1. Complex Numbers and Quadratic Equations: Need for complex numbers, especially √−1, to be motivated by inability to solve some of the quadratic equations, Algebraic properties of complex numbers, Argand plane. , 2. Linear Inequalities: Linear inequalities, Algebraic solutions of linear inequalities in one variable and their representation on the number line. , 3. Permutations and Combinations: Fundamental principle of counting, Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications. , 4. Binomial Theorem: Historical perspective, statement and proof of the binomial theorem for positive integral indices, Pascal’s triangle, simple applications. , 5. Sequence and Series: Sequence and Series, Arithmetic Mean (A.M.), Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. |
| Unit III | Coordinate Geometry | 1. Straight Lines: Brief recall of two-dimensional geometry from earlier classes, Slope of a line and angle between two lines, Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form, Distance of a point from a line. , 2. Conic Sections: Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section, Standard equations and simple properties of parabola, ellipse and hyperbola, Standard equation of a circle. , 3. Introduction to Three-dimensional Geometry: Coordinate axes and coordinate planes in three dimensions, Coordinates of a point, and Distance between two points. |
| Unit IV | Calculus | 1. Limits and Derivatives: Derivatives introduced as rate of change both as that of distance function and geometrically, Intuitive idea of limit, Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions, Definition of derivative, relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions, Derivatives of polynomial and trigonometric functions. |
| Unit V | Statistics and Probability | 1. Statistics: Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data. , 2. Probability: Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes, Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events. |
CLASS XII Syllabus
| Unit | Topic | Sub-topics |
| Unit I | Relations and Functions | 1. Relations and Functions: Types of relations: reflexive, symmetric, transitive and equivalence relations, One to one and onto functions. , 2. Inverse Trigonometric Functions: Definition, range, domain, principal value branch, Graphs of inverse trigonometric functions. |
| Unit II | Algebra | 1. Matrices: Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices, Operations on matrices: Addition and multiplication and multiplication with a scalar, Simple properties of addition, multiplication and scalar multiplication, Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2), Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). , 2. Determinants: Determinants of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle, Adjoint and inverse of a square matrix, Consistency, inconsistency and a number of solutions of a system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix. |
| Unit III | Calculus | 1. Continuity and Differentiability: Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, like sin⁻¹x, cos⁻¹x and tan⁻¹x, derivative of implicit functions, Concept of exponential and logarithmic functions, Derivatives of logarithmic and exponential functions, Logarithmic differentiation, derivative of functions expressed in parametric forms, Second order derivatives. , 2. Applications of Derivatives: Applications of derivatives: rate of change of quantities, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool), Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). , 3. Integrals: Integration as the inverse process of differentiation, Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. , 4. Applications of the Integrals: Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses (in standard form only). , 5. Differential Equations: Definition, order and degree, general and particular solutions of a differential equation, Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree, Solutions of linear differential equation of the type: |
| Unit IV | Vectors and Three-Dimensional Geometry | 1. Vectors: Vectors and scalars, magnitude and direction of a vector, Direction cosines and direction ratios of a vector, Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio, Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors. , 2. Three-dimensional Geometry: Direction cosines and direction ratios of a line joining two points, Cartesian equation and vector equation of a line, skew lines, the shortest distance between two lines, Angle between two lines. |
| Unit V | Linear Programming | 1. Linear Programming: Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). |
| Unit VI | Probability | 1. Probability: Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable. |
Insights into Scoring and Time Management Based on Past Patterns
In COMEDK, every question is worth 1 mark, and there’s no negative marking. This structure influences the ideal approach to scoring and time management:
Aim for Accuracy: Given the lack of negative marking, it’s beneficial to attempt every question. However, accuracy is key. Try to avoid careless errors, as correct answers are worth the same as incorrect guesses, but accuracy will ensure you build a high, steady score.
Effective Time Allocation: With 180 questions and 180 minutes, you have approximately 1 minute per question. Ideally, allocate about 55-60 minutes per subject to stay within the time limit. Use any extra time at the end for a quick review, especially on questions that seemed uncertain on the first pass.
Prioritise High-Scoring Topics: Identify topics in each subject that frequently appear in past COMEDK papers, such as Mechanics in Physics, Organic Chemistry in Chemistry, and Calculus in Mathematics. By focusing on these high-weighting areas, you can maximise your score efficiently.
Understanding the structure and prioritising based on the syllabus helps in optimising preparation efforts, making it easier to score well.
Effective Study Plan for COMEDK
A well-organised study plan is the backbone of any successful exam preparation. COMEDK’s comprehensive syllabus demands a consistent approach, where you balance topic coverage with regular practice and revision.
Creating a Daily Study Schedule
A daily study schedule can help you allocate enough time to each subject while ensuring that you cover the syllabus systematically. Here’s a recommended approach:
Morning Session: Start your day by focusing on subjects or topics that you find challenging. For many students, this could be Physics, especially the conceptual and numerical aspects of Mechanics and Electromagnetism. Dedicate 2-3 hours to intensive learning, breaking down complex problems into simpler steps.
Afternoon Session: After a break, move to Chemistry. Spend at least 2 hours revising and practising topics from Organic, Inorganic, and Physical Chemistry. Organic Chemistry may require memorization, while Physical Chemistry focuses on problem-solving, so balance these aspects as needed.
Evening Revision: Use the evening for Mathematics practice. Dedicate 1-2 hours to solving MCQs from key areas like Algebra and Calculus. Additionally, keep some time for revision of any formulas or methods you encountered during the day’s study.
Weekly Review: Every week, allocate one day for a comprehensive review. Revise everything you covered during the week, focusing on weak areas and attempting a small quiz or mini-mock test to gauge your understanding.
Tips for Organizing Topics and Prioritising High-Weighting Areas
To maximise efficiency, organise your topics and prioritise high-weighting areas. Here’s how:
High-Weightage Topics First: Prioritise chapters with the most questions on past COMEDK exams. In Mathematics, start with Calculus and Algebra. In Physics, focus on Mechanics and Electromagnetism. In Chemistry, tackle Organic Chemistry before Inorganic or Physical.
Topic Checklist: Create a checklist of topics for each subject. Mark them off as you complete and revise each one. This visual checklist will provide a sense of accomplishment and ensure that no topics are left untouched.
Address Weak Areas: Allocate extra time to your weak subjects or topics. If you struggle with Calculus or Physical Chemistry, dedicate additional practice sessions specifically for these areas to build confidence.
Integrating Revision Time and Mock Test Sessions
To retain information and build exam stamina, make revision and mock tests a regular part of your schedule:
Daily Revision: Set aside 30-45 minutes daily to revise important formulas, key concepts, and difficult problems. Regular revision will reinforce your memory and make it easier to recall information on exam day.
Weekly Mock Tests: Take one full-length mock test each week. This will help you get used to the format and timing, making the actual exam feel more familiar. After each test, analyse your performance to identify any consistent errors.
Final Revision Period: In the last month before the exam, focus primarily on revision and mock tests. Cut down on learning new topics, and instead consolidate your understanding by revisiting topics and refining your answering techniques.
Following a structured study plan that includes regular revision and testing will enhance your preparation and reduce last-minute stress.
Best Books and Resources for COMEDK Preparation
Choosing high-quality study materials is essential for effective preparation. Here is a list of recommended books for each subject and additional tips for maximising your study resources.
Recommended Books for Physics, Chemistry, and Math
The following books are widely recommended for COMEDK preparation. These resources cover all necessary concepts, with practice questions and solved examples to help reinforce learning.
Physics:
Physics for Karnataka CET & COMEDK by S. Dasharathi: This book offers targeted content based on the Karnataka CET and COMEDK syllabus, covering key concepts and practice questions.
Concepts of Physics by HC Verma: Known for its clear explanations and variety of conceptual problems, this book is ideal for strengthening basic and advanced Physics concepts.
Aptitude Problems in Physics by S.S. Krotov: This book is great for students looking to tackle challenging problems and improve their problem-solving techniques.
Mathematics:
Mathematics for Karnataka CET & COMEDK by BASE: Covers the entire COMEDK syllabus with a range of questions that match the exam difficulty level.
Mathematics for Karnataka CET & COMEDK by M.R. Hanumantharaya: Well-organised with topics structured to help students follow a systematic approach to learning.
Maths XI & XII by R.D. Sharma: R.D. Sharma’s books cover foundational concepts in detail, making them useful for building a strong mathematical base.
Algebra Made Easy by K.P. Basu: Provides a thorough understanding of Algebra, a core topic in the COMEDK syllabus.
Chemistry:
Chemistry for Karnataka CET & COMEDK by BASE: A focused guide for COMEDK, covering all essential topics with clear explanations and relevant questions.
Chemistry for Karnataka CET & COMEDK by Dr. Sonar Maruti H: Comprehensive coverage of all three parts of Chemistry – Organic, Inorganic, and Physical.
IIT Chemistry by O.P. Agarwal: Excellent for building depth in Physical Chemistry, with a variety of problems that enhance understanding.
Concepts of Chemistry by ABC: Covers a wide array of topics, ensuring students have a solid grasp of basic concepts before tackling more advanced material.
Best Books and Resources for COMEDK Preparation
Selecting the right study resources is critical to your success in COMEDK. High-quality books, online resources, and study materials can make a significant difference in how well you understand concepts and retain information. In this section, we’ll provide a detailed list of recommended books for Physics, Chemistry, and Mathematics, along with some online resources that can supplement your learning.
Recommended Books for Physics, Chemistry, and Mathematics
Each subject in COMEDK has specific requirements and recommended study materials that can enhance your understanding and problem-solving skills.
1) Physics:
Physics for Karnataka CET & COMEDK by S. Dasharathi: This book offers a comprehensive view of the Physics syllabus aligned with Karnataka CET and COMEDK. With well-structured chapters and plenty of exercises, it is a solid resource for building foundational knowledge and practising key concepts.
Concepts of Physics by HC Verma: HC Verma’s books are highly regarded for their clear explanations and balanced approach to theoretical and numerical problems. Volume 1 covers basics like Mechanics, while Volume 2 delves into advanced topics like Thermodynamics and Modern Physics. HC Verma is ideal for students who need a deeper understanding of core Physics concepts and want a mix of theory and practice questions.
Aptitude Problems in Physics by S.S. Krotov: For students looking to challenge themselves, Krotov’s book is perfect for higher-order thinking problems that test comprehension and analytical abilities. Although the problems are difficult, they provide invaluable practice for students aiming for top ranks in COMEDK.
2) Mathematics:
Mathematics for Karnataka CET & COMEDK by BASE: This book is designed specifically for COMEDK and Karnataka CET students. It covers all required topics and includes a variety of problems tailored to the level of difficulty you can expect in COMEDK. The exercises in BASE books help reinforce fundamental skills in Algebra, Calculus, and Geometry, which are essential for scoring well.
Mathematics for Karnataka CET & COMEDK by M.R. Hanumantharaya: Another excellent option for COMEDK aspirants, this book covers all main topics with plenty of solved examples and practice questions. It’s a comprehensive guide with easy-to-understand explanations, ideal for students looking to grasp concepts quickly.
Maths XI & XII by R.D. Sharma: R.D. Sharma’s books for grades 11 and 12 provide a detailed exploration of mathematical topics. Known for their easy-to-follow style, these books are great for mastering the basics and building problem-solving skills through exercises at the end of each chapter.
Algebra Made Easy by K.P. Basu: Algebra plays an important role in COMEDK’s Mathematics section, and Basu’s book simplifies complex Algebraic concepts, making them easier to understand and apply.
3) Chemistry:
Chemistry for Karnataka CET & COMEDK by BASE: This book covers all three sections of Chemistry—Organic, Inorganic, and Physical Chemistry. Each topic is explained thoroughly, followed by a variety of practice questions that align with the COMEDK syllabus.
Chemistry for Karnataka CET & COMEDK by Dr. Sonar Maruti H: Dr. Maruti H’s book is a favourite for its in-depth coverage of all Chemistry sections, with a focus on Organic Chemistry. This book is ideal for students who want to master each area with an exam-focused approach.
IIT Chemistry by O.P. Aggarwal: This book covers the essentials of Physical Chemistry, providing numerous problems to practise concepts such as Equilibrium, Thermodynamics, and Electrochemistry. Although aimed at IIT aspirants, it aligns well with the level required for COMEDK and can be used as a secondary reference for practice.
Concepts of Chemistry by ABC: This book provides a basic but thorough overview of Chemistry concepts, making it useful for students who need a refresher on fundamental principles before tackling more advanced problems.
Online Resources and Study Materials
Online resources can be invaluable in supplementing your learning, especially for reviewing difficult concepts, solving additional questions, and accessing interactive content. Here are some top online resources that can aid your COMEDK preparation:
Phodu Club’s COMEDK Mock Tests: Phodu Club offers a series of mock tests specifically designed for COMEDK, which provide valuable practice and help you gauge your readiness. The mock tests simulate the real exam environment and include detailed solutions for each question, allowing you to learn from your mistakes.
Khan Academy: Khan Academy offers free lessons in Physics, Chemistry, and Mathematics that align with the topics tested in COMEDK. These video lectures break down complex topics into simple explanations and are a good supplement to your textbooks.
YouTube Channels for JEE/COMEDK: Many YouTube channels offer JEE-focused tutorials that are equally relevant for COMEDK. Many Channels provide video lectures on essential topics, making it easy to understand difficult concepts visually.
Tips on Using NCERT vs. Additional Materials for Competitive Edge
NCERT books provide the foundation for many entrance exams in India, including COMEDK. However, they may not cover all aspects in as much depth as is needed for competitive exams. Here’s how to balance NCERT with other resources:
Start with NCERT: Begin your preparation by thoroughly covering the NCERT textbooks for grades 11 and 12. These books are especially useful for understanding basic concepts in Chemistry and Mathematics, and they provide a solid grounding in fundamental topics.
Supplement with Advanced Books: Once you’re comfortable with the basics, move on to the recommended books listed above. For example, after mastering the basics in Physics with NCERT, you can move on to HC Verma’s Concepts of Physics for advanced problem-solving.
Using NCERT as a starting point and then diving into specialised books will help you gain both a solid foundation and the advanced skills needed to excel in COMEDK.
Mock Tests and Practice Papers: How to Use Them Effectively
Mock tests and practice papers are critical tools for measuring your readiness for COMEDK. They help you simulate the real exam experience, improve time management, and build test-taking stamina. Here’s a guide on how to use mock tests and practice papers effectively for maximum benefit.
Importance of Mock Tests in Understanding the Exam Pattern
Mock tests are designed to replicate the structure, timing, and difficulty of the actual COMEDK exam. By regularly taking these tests, you can become familiar with the layout and format, which will reduce stress on exam day. Mock tests also help you develop strategies for handling the 3-hour time constraint and managing the multiple-choice question format effectively.
Phodu Club’s COMEDK mock tests are particularly beneficial, as they are tailored to the COMEDK pattern and cover a wide variety of topics, ensuring that you practise questions similar to those in the real exam.
Tips for Timing, Analysis, and Correction of Mistakes
To get the most out of your mock tests, follow these tips for timing, analysis, and correction:
Timing: Practise managing your time by sticking to a strict time limit. Set a goal to complete each subject within 55-60 minutes, so you have time left to review your answers.
Analyse Your Performance: After completing a mock test, review each question you answered incorrectly. Identify the reasons for your mistakes, such as gaps in knowledge, calculation errors, or time management issues.
Correction of Mistakes: After analysing your errors, revisit the topics where you made mistakes. If you constantly struggle with a certain topic, spend extra time studying and practising problems in that area. Correcting mistakes as you go along will help you avoid repeating them in future tests.
Recommended Number of Tests and Sources
Taking too few tests may leave you underprepared, while taking too many without proper analysis can lead to burnout. Aim to complete at least 10-15 full-length mock tests before the actual exam. Each test should be followed by a thorough review and analysis to ensure improvement over time.
In addition to full mock tests, practise chapter-wise tests to reinforce specific areas. Sources such as Phodu Club, BASE books, and previous years’ question papers are excellent resources for practice. By regularly revisiting these materials, you can build a comprehensive understanding of the types of questions that frequently appear on the exam.
Conclusion
Preparing for the COMEDK exam can be an intense journey, but with the right strategy and resources, it’s possible to achieve a high score. By understanding the exam pattern, following a structured study plan, selecting quality books, and consistently practising with mock tests, you can maximise your chances of success.
Remember that balancing foundational materials like NCERT with advanced resources and regularly reviewing key concepts is essential. Platforms like Phodu Club provide a valuable range of mock tests and practice papers, making it easier to assess your progress and address weaknesses before exam day.
Stay dedicated to your preparation plan, work on your problem-solving skills, and maintain a positive attitude throughout your preparation. With the right approach, you’ll be well-prepared to perform at your best in COMEDK.
FAQs
1) What are the top scoring topics in COMEDK?
High-scoring topics include Mechanics and Electromagnetism in Physics, Organic Chemistry in Chemistry, and Calculus and Algebra in Mathematics. Focusing on these topics can significantly enhance your overall score.
2) Can COMEDK be prepared in under 3 months?
Yes, with a well-structured study plan, high-quality resources, and regular mock tests, it is possible to prepare for COMEDK in under 3 months. Prioritising high-weightage topics and focusing on efficient time management are key to succeeding within a shorter preparation window.
3) What’s the passing score for COMEDK?
The passing score for COMEDK can vary each year based on factors like exam difficulty and applicant performance. However, a score above 100 out of 180 is generally considered competitive and can improve your chances of securing a good rank.
