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  • Relations and Functions
    • The following topics are included in CBSE class 12 test papers for Mathematics. Relations and Functions Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations. Inverse Trigonometric Functions Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

  • Algebra
    • The following topics are included in CBSE class 12 test papers for Mathematics. Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices. Determinants: Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle.

  • Calculus-Continuity and Differentiability
    • The following topics are included in CBSE class 12 test papers for Mathematics. Continuity and Differentiability derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function.

  • Calculus-Applications of Derivatives
    • The following topics are included in CBSE class 12 test papers for Mathematics. Applications of Derivatives: Applications of derivatives: rate of change, increasing/decreasing functions, tangents & normals, approximation, maxima and minima. Integrals integration as inverse process of differentiation.

  • Calculus-Integrals
    • The following topics are included in CBSE class 12 test papers for Mathematics. Integrals integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus.

  • Calculus-Applications of Integrals
    • The following topics are included in CBSE class 12 test papers for Mathematics. Integration of a variety of functions by substitution, by partial fractions and by parts. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus. Applications of the Integrals.

  • Calculus-Differential Equations
    • The following topics are included in CBSE class 12 test papers for Mathematics. Differential Equations Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given.

  • Vectors and Three-Dimensional Geometry
    • The following topics are included in CBSE class 12 test papers for Mathematics. Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. 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. Three - dimensional Geometry Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane. Distance of a point from a plane.

  • Linear Programming
    • The following topics are included in CBSE class 12 test papers for Mathematics. Linear Programming Introduction, definition of related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

  • Probability
    • The following topics are included in CBSE class 12 test papers for Mathematics. Multiplication theorem on probability. Conditional probability, independent events, total probability, Baye\'s theorem, Random variable and its probability distribution, mean and variance of haphazard variable. Repeated independent (Bernoulli) trials and Binomial distribution.

  • CBSE Mixed Test Papers
    • CBSE Mixed Test Papers for class 12 mathematics for CBSE board examinations. These Test Papers includes more then one topic. Most of these papers are Unit Test Paper and Half Yearly Paper of Various KV and other reputed public school. These papers will help student to check his/her performance.

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