JKCET 2026 Mathematics Syllabus
The application form will open in March 2026 for admission to BTech courses in Jammu and Kashmir and Union Territory of Ladakh. Before jumping to appear the candidates must also check the syllabus and marking to each set of Questions.
This will help candidates to prepare well according to the marks allotted to each unit.
SYLLABUS:
The entrance test is based on the courses of study and syllabi of 12th class. It is given as under along with broad weightage of each subject in the question paper of the Entrance Test.
Note: The marks distribution given in the syllabus is only illustrative. It will not accrue any right to the candidate, if this distribution of marks is not strictly reflected in the question paper.
Check Physics Syllabus
Check Chemistry Syllabus
JKCET Previous year Papers
Mathematics
Total Marks = 60
JK CET 2026 Mathematics Marks Distribution
| Topics | Marks |
| LIMIT, CONTINUITY AND DIFFERENTIATION | 8 |
| INTEGRATION AND DIFFERENTIAL EQUATIONS | 7 |
| SETS, RELATIONS AND FUNCTIONS | 6 |
| COMPLEX NUMBER; LINEAR INEQUATION; LINEAR PROGRAMMING | 6 |
| SEQUENCE AND SERIES, PERMUTATION AND COMBINATION & BINOMIAL THEOREM | 6 |
| TRIGONOMETRIC AND INVERSE TRIGONOMETRY FUNCTIONS | 6 |
| STATISTICS AND PROBABILITY | 6 |
| VECTORS AND THREE DIMENSIONAL GEOMETRY | 6 |
| STRAIGHT LINES AND CONIC SECTIONS | 5 |
| MATRICES AND DETERMINANTS | 4 |
MATHEMATICS
Total Marks = 60
UNIT 1: SETS, RELATIONS AND FUNCTIONS
(Marks: 06)
Sets and their representation, finite and infinite sets, empty set subsets, subset of real numbers especially intervals, 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 relation, reflexive, symmetric, transitive and equivalence relation. Functionsas special kind of relations from one set to another, domain, co-domain and range of a function.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, one to one function, onto function, inverse trigonometric function with definition, domain, range, graphs.
UNIT 2: COMPLEX NUMBER; LINEAR INEQUATION; LINEAR PROGRAMMING
(Marks: 06)
Complex number: Argand’s plane, algebraic properties of complex numbers. Solution of Quadratic equation in the complex number system.Square root of a complex number. Linear inequation: Linear Inequalities, Algebraic solution of linear inequalities in one variable and their representations on number line. Linear programming: Introduction , definition of related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions.
UNIT 3: SEQUENCE AND SERIES, PERMUTATION AND COMBINATION & BINOMIAL THEOREM
(Marks: 06)
Sequence and series: Arithmetic progression (A.P), arithmetic mean (A.M), nth term, Geometric progression (G.P) , Geometric Mean (G.M), nth term, sum to n-terms and sum to infinity of a G.P. Relation between A.M and G.M. 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. Pascal’s triangle and simple applications.
UNIT 4: TRIGONOMETRIC AND INVERSE TRIGONOMETRY FUNCTIONS
(Marks: 06)
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.Basic Trigonometric identities sin2 x+cos2 x=1 for all Sign of x etc. Trigonometric functions and their graphs.Expressions forsin(x ± y),cos(x ± y),tan(x ± y),cot(x ± y), sum and product formulae. Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x, and tan3x. General and principal solutions of trigonometric equations of the type Sin x= Sin a, Cos x= Cos a , Tan x= Tan a.
UNIT 5: MATRICES AND DETERMINANTS
(Marks: 04)
Matrices, concepts, notation, order, equality, types of matrices, Zero matrix, transpose of matrix, Symmetric and skew symmetric matrices. Addition, multiplication, scalermultiplication 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 2×2). 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 3×3 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.
UNIT 6: LIMIT, CONTINUITY AND DIFFERENTIATION
(Marks: 08)
Concept of limit of a function. Theorems on Limits, Evaluation of limits using standard results 37|P a g e x Sinx x 0 lim ® , x a x a n n x a – – ® lim , lim௫→ ଵ ௫ , lim௫→ஶ ଵ ௫ , lim௫→ஶ ቀ1 + ଵ ௫ ቁ ௫ lim௫→ (1 + 𝑥) ଵ/௫ , lim௫→ log (1 + 𝑥) 𝑥 , lim௫→ e ୶ − 1 𝑥 , 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.
The Ø Derivative of sum, difference, product and quotient of two or more functions. Ø Derivative of algebraic and composite functions.
Derivative of trigonometric and inverse trigonometric functions. A Ø Chain rule, derivative of implicit functions.
Derivative of logarithmic and exponential functions.
Logarithmic differentiation.
Derivative of functions expressed in parametric forms.
Second order derivatives. Application of Derivative: rate of change, increasing and decreasing functions, maxima and minima (first derivative and second derivative test). Simple problems.
UNIT 7: INTEGRATION AND DIFFERENTIAL EQUATIONS
(Marks: 07)
Integration as inverse process of differentiation. Integration of variety of functions by Substitution, by parts, by partial fractions. Simple integrals of the type: න 𝑑𝑥 𝑥 ଶ ± 𝑎 ଶ , න 𝑑𝑥 ඥ𝑥 ଶ ± 𝑎 ଶ , න 𝑑𝑥 √𝑎 ଶ − 𝑥 ଶ , න 𝑑𝑥 𝑎𝑥ଶ + 𝑏𝑥 + 𝑐 , න 𝑑𝑥 √𝑎𝑥ଶ + 𝑏𝑥 + 𝑐 , න (𝑝𝑥 + 𝑞) 𝑎𝑥ଶ + 𝑏𝑥 + 𝑐 𝑑𝑥 , න (𝑝𝑥 + 𝑞) √𝑎𝑥ଶ + 𝑏𝑥 + 𝑐 𝑑𝑥 , න ඥ𝑎 ଶ ± 𝑥 ଶ . 𝑑𝑥, න ඥ𝑥 ଶ − 𝑎 ଶ . 𝑑𝑥, 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) .
Differential Equations: Definition, order and degree of a differential equation. General and particular solutions of a differential equation, solution of differentiation equation by method of separation of variables.Solution of Homogeneous differential equation of first order and first degree. Solution of linear differential equation of the type: ௗ௬ ௗ௫ + 𝑝𝑦 = 𝑞, where p and q are functions of x aloneand ௗ௫ ௗ௬ + 𝑝𝑥 = 𝑞, where p and q are functions of y alone.
UNIT 8: STRAIGHT LINES AND CONIC SECTIONS
(Marks: 05) 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. Distance of a point from a line. Conic Section: Sections of a cone, circles, parabola, ellipse, hyperbola, a 38|P a g e 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.
UNIT 9: STATISTICS AND PROBABILITY
(Marks: 06) STATISTICS Measure of dispersion, Range, mean, deviation, variance and standard deviation of ungrouped/ grouped data. 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 of a random variable.
UNIT 10: VECTORS AND THREE DIMENSIONAL GEOMETRY
(Marks: 06)
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, Vector (cross) product of vectors.
STRAIGHT LINES AND SPACE Coordinate Axis and Coordinate Planes in three dimension, coordinate of point, distance between two points. Direction cosines and direction ratios of a line joining two points. Cartesian and vector equation of a line and skew-lines, shortest distance between two lines. Angle between two lines.
