JKCET 2026 Syllabus: Download PDF, Check Subject Wise Syllabus Here

Aspects

Details

Name of Exam

JKCET

Full Form

Jammu and Kashmir Common Entrance Test

Study material Here

Syllabus of JKCET

Complete Details of This Exam

JKCET 2026

Similar Exams

Engineering Entrance Exams

Official Body for Exam and Its Syllabus

JKBOPEE

Full Name of Body

Jammu and Kashmir Board of Professional Entrance Examination

Level of Examination

State Level

States of Region Where Institutes Accepting Exam Scores Are

Jammu and Kashmir

Exam and Syllabus Official Website

jkbopee.gov.in

Courses Where Admission Is Through This Exam

BE, B.Tech

Colleges Where Admission Is Through This Exam

Government and private institutes in J&K

Topics

Marks

Sets, relations and functions

Sets and their representation, finite and infinite sets, empty set subsets, subset of realnumbers especially intervals, power set, universal set. Venn diagram, union and intersection of sets.Difference of sets, Compliment of a set.Ordered pairs, Cartesian product of sets, number of elements in the Cartesian product of two finite sets.
Relations, Domain, co- domain and range of relation, types of relations, reflexive,
symmetric, transitive and equivalence relations.
Functions as special kind of relations from one set to another, domain, co domain and range of a function.One to one, onto functions.Real valued functions of the real variable; constant, identity, polynomial, rational, modulus, signum and the greatest integer functions with their graphs.Sum, difference, product and quotients of functions.Composition of functions, inverse of a function, binary operations. 

Complex number; linear inequation; linear programming

Complex number: Conjugate of a complex number, modulus and amplitude (argument) of a complex number, Argand’s plane and polar representation of complex numbers, algebraic properties of complex numbers. Fundamental theorem of algebra, solution of Quadratic equation in the complex number system.Square root of a complex number.
Linear inequation: Algebraic solution of linear inequalities in one variable and two variables.
Linear programming: Introduction , definition of related terminology such as constraints, objective function, optimization, different type of linear programming problem (L.P), mathematical formulation of L.P problem, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions. 

Sequence and series, permutation and combination & binomial theorem

Sequence and series: Arithmetic progression (A.P), arithmetic mean (A.M), nth term, sum to n-terms of an A.P, Geometric progression (G.P) , Geometric Mean (G.M), nth term, sum to nterms and sum to infinity of a G.P. Relation between A.M and G.M. Sum to n terms of ? , ?2 ??? ?3.

Permutation and combination: Fundamental principle of counting, factorial n, permutations P(n,r) and combinations C(n,r), simple applications.
Binomial Theorem: Binomial theorem for positive integral power.general and middle terms in the Binomial expansion. Pascal’s triangle and simple applications.

Trigonometric and inverse trigonometry functions

Positive and negative angles, measuring angles in radians and in degrees, Conversion from one measure to another. Definition of trigonometric functions with the help of unit circle.Periodicity of Trigonometric functions. Basic Trigonometric identities, Trigonometric functions and their graphs, Inverse trigonometric functions, range, domain, principal value branches. Graphs of inverse trigonometric functions, elementary properties of inverse trigonometric functions.

Matrices and determinants

Matrices, concepts, notation, order, equality, types of matrices, Zero matrix, transpose of matrix, Symmetric and skew symmetric matrices. Addition, multiplication, scaler multiplication of matrices, simple properties of addition, multiplication and scaler multiplication of matrices. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (order 2x2). Concept of elementary row and column operation, Invertible matrices and uniqueness of inverse, if it exists.(Matrices with real entries).
Determinants of square matrix (upto 3x3 matrices) properties of determinants, minors, cofactors and applications of determinants in finding area of a triangle.Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables using inverse of a matrix. 

Limit, continuity and differentiation

Concept of limit of a function. Theorems on Limits, Evaluation of limits using standard results.

Continuity of a function at a point.Continuity of Sum, product and quotient of
functions.Derivative: definition of a derivative of a function, geometrical interpretation of the derivative

1. Derivative of sum, difference, product and quotient of two or more functions.
2. Derivative of algebraic and composite functions.
3. Derivative of trigonometric and inverse trigonometric functions. Chain rule, derivative of implicit functions.
4.  Derivative of logarithmic and exponential functions.
5. Logarithmic differentiation.
6. Derivative of functions expressed in parametric forms.
   Second order derivatives.
7.  Rolle’s and Lagrange’s Mean Value Theorem and their geometrical interpretation and their simple applications.

Application of Derivative: rate of change, increasing and decreasing functions, tangents and normals, approximation, maxima and minima (first derivative and second derivative test). Simple problems.

Integration and differential equations

Integration as inverse process of differentiation.Integration of variety of functions by Substitution, by parts, by partial fractions. 

Definite integrals as a Limit of a sum.Fundamental Theorem of calculus.Basic properties of
definite integrals Evaluation of definite integrals.
Application of integrals: Application in finding the area under simple curves, especially lines. Areas of circles, parabolas and ellipses (in standard form) Area under the curve y= Sinx, y= Cosx, area between the above two curves.
Differential Equations: Definition, order and degree of a differential equation. General and particular solutions of a differential equation.Formation of a differential equation whose general solution is given.Solution of differentiation equation by method of separation of variables.Solution of Homogeneous differential equation of first order and first degree. 

Straight lines and conic sections

Distance between two points, section, slope of a line, angle between two lines, various forms of equations of lines, point-slope form, intercept form, two point form, and normal form. General equation of a line, distance of a point from a line. Conic Section: Sections of a cone, circles, parabola, ellipse, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of conic section. Standard equation of a circle, parabola, ellipse,
and hyperbola and their simple properties.

Statistics and probability

STATISTICS: Measure of dispersion, mean, deviation, variance and standard deviation of ungrouped/ grouped data. Analysis of frequency distribution with equal means but different variances.

PROBABILITY:Random Experiment: outcome, sample spaces.
Events: Mutually exclusive and exhaustive events. Axiomatic (set theoretic) probability, probability of an event, probability of “Not” and “Or” events. Multiplication theorem on probability, conditional probability, independent events, total probability, Baye’s theorem, random variable and its probability, distribution, mean and variance of a random variable. Repeated independent (Bernouli) trials and Binomial distribution

Vectors and three dimensional geometry

Vectors and scalars, magnitude and direction of a vector Direction Cosines and ratios of a vector.Types of vector, equal, zero, unit, parallel and collinear vectors. Position vector of a point , negative of a vector, components of a vector, addition of vectors, Scalar multiplication, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors, Scalar triple product. Coordinate axes and Coordinate planes in three dimensions of a point, distance between two points and sectional formula.

STRAIGHT LINES AND SPACE: Direction cosines and direction ratios of a line joining two points. Cartesian and vector equation of a line (in various forms), coplanar and skew-lines, shortest distance between two lines.

PLANES Cartesian and vector equation of a plane( in various forms). Distance of a point
from a plane.
Angle between:
i. Two lines
ii. Two planes.
iii. A line and a plane 

Topics

Sub-topics

Physical world and measurement

S.I. units, Fundamental and derived units. Accuracy and precision of measuring instruments, Errors in measurement, Significant figures. Dimensions of Physical quantities, dimensional analysis and its applications.

Kinematics

Motion in a straight line: Position-time graph, speed and velocity. Elementary concepts of differentiation and integration for describing motion.Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity-time graph, position-time graphs, relations for uniformly accelerated motion, (graphical treatment and calculus approach). Scalar and Vector quantities, addition and Subtraction of vectors, general Vector and notation, Relativen Velocity. Scalar and Vector products of two vectors with properties, Unit Vector, Resolution of a Vector in plane rectangular components, Motion in a plane, Projectile Motion.

Laws of motion

Concept of force and Inertia, Newton’s First Law of motion; Momentum and Newton’s Second Law of motion, Impulse; Newton’s Third Law of motion.Law of conversation of linear momentum and its applications, Equilibrium of concurrent forces. Friction, static and kinetic friction, laws of friction, rolling friction.
Dynamics of uniform circular motion: Centripetal force and examples of circular motion
(vehicle on level circular road, vehicle on banked road.)

Work, energy and power

Concept of scalar products of vectors, Work done by a constant force and variable force; kinetic energy, work energy theorem, power. Potential energy, Potential energy of spring, conservative forces, conservation of mechanical energy (K.E. and P.E.), non-conservative forces; Elastic and inelastic collisions in one and two dimensions. 

Motion of system of particles and rigid body

Centre of mass of a two-particle system, Centre of mass of a rigid body; Concepts of vector product of vectors: moment of a force, torque, angular momentum, conservation of angular momentum with some examples. Moment of inertia, radius of gyration.Values of moment of inertia for simple geometric objects (no derivation), statement of parallel and perpendicular axes theorems and their applications.Rigid body rotation and equations of rotational motion.

Gravitation

The universal law of gravitation.Acceleration due to gravity and its variation with altitude, depth and shape, Kepler’s laws of planetary motion.Gravitational potential; gravitational potential energy.Escape velocity.Orbital velocity of satellite.Geo-stationary satellites.

Properties of bulk matter

Elastic behavior, Stress-strain relationship. Hooke’s Law, Young’s modulus, bulk modulus, shear modulus of rigidity. Pressure due to a fluid column; Pascal’s law and its applications (hydraulic lift and hydraulic brakes) Viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow, Reynolds number. Bernoulli’s theorem and its applications Surface energy and surface tension, angle of contact, applications of surface tension – ideas to drops, bubbles and capillary rise. Heat, temperature, thermal expansion; specific heat, calorimetry; change of state-latent heat.Heat transfer-conduction, convection and radiation, Newton’s law of cooling.

Topics

Marks

Chemical arithmetic & atomic structure

Laws of chemical combination, Mole concept (numericals) Percentage composition, Chemical reactions, Stoichiometry and calculations based on stoichiometry. Atomic structure:- Bohr’s model of Hydrogen atom, Quantum numbers, Pauli’s exclusion principle, Hund’s rule and Aufbau principle. Heisenberg’s uncertainty principle, de-Broglie wave equation and its significance.

Chemical equilibrium

Law of mass action, Le-Chatelier’s principle, and its application to physical and chemical equilibria. Ionisation of weak electrolytes (Ostwald’s dilution law) Acids and bases: Acid base equilibria. Bronsted-Lowry and Lewis concept, of acids and bases.Ionic product of water. pH and pOH scales, pKa&pKb values, Solubility product, Buffer solutions Common ion effect, Hydrolysis of salts

Chemical kinetics

Rate of chemical reaction, Average and instantaneous rate, Factors effecting rate of reaction, Order and molecularity of reaction, Integrated rate equation and Half-life period (for zero and first order) reaction, Activation energy and Arrhenius equation.

Solutions

Vapour pressure, Raoult’s law, Ideal and Non-ideal solutions, Colligative properties. Determination of molecular mass of non-volatile solutes through colligative properties. Abnormal molecular masses and Van’t Hoff Factor.

Chemical thermodynamics

Energy changes taking place during chemical reactions, Internal Energy and Enthalpy changes, Enthalpy of combustion, Solution and Neutralization.Hess’s Law (Numerical problems) Laws of thermodynamics-first, second & third, Concepts of Entropy and Free energy, Spontaneity of a chemical reaction and Thermodynamic equilibrium.

Redox reactions and electrochemistry

Dependence of electrode and cell potential on concentration (Nernst Equation), Electrode potential as a criteria for product formation in electrolysis. E.M.F. of Galvanic cell, Relationship between free energy change and E.M.F. of a cell.Definition and units of Equivalent, Molar and Specific conductivity.

Solid state & states of matter

Boyle’s Law, Charle’s law, Dalton’s law of partial pressure, Graham’s law of diffusion of gases. Causes of deviation from ideal behaviour, ideal gas equation and nature of ‘R’, Vander Waal’s equation, surface tension and viscosity of liquids. Crystalline and amorphous solids, Crystal lattice, Crystal types, Packing efficiency, calculation of density of unit cell, Number of atoms per unit cell in a cubic cell. Co-ordination number, Stoichiometric defects: Schottky, Frenkel and interstitial. Properties of solids: Electrical, Magnetic & Dielectric.

Year

Download PDF

2026

Download PDF Here

2024

Download PDF Here

2023

Download PDF Here

Subjects

Marks

Questions

Physics

60

60

Chemistry

60

60

Mathematics

60

60

Name of the book and author

Author

NCERT Class 11 and 12 Textbooks

NCERT

Concepts of physics (Vol. 1 and 2) 

H.C Verma

Fundamentals of Physics 

Halliday, Resnick & Walker

NCERT Textbooks for classes 11 and 12

NCERT

Modern Approach to Chemical Calculations 

R.C. Mukherjee

Organic Chemistry

O P Tandon

Concept of Physical Chemistry

P Bahadur

Concise Inorganic Chemistry 

J D Lee

NCERT Class 11 and 12 Textbooks

NCERT

Objective Mathematics 

R D Sharma

Plane Trigonometry 

S L Loney

The Elements Of Coordinate Geometry 

S L Loney

Algebra 

Dr S K Goyal (Arihant Publications)