We have added New Chapter-wise Solved Test Papers for CBSE class 12 Mathematics to download section of www.myCBSEguide.com for FREE use. These test papers are provided according to NCERT Book and Latest Prescribed Syllabus of CBSE for current session. CBSE Solved Test Papers for Mathematics are FREE to download for personal use. You need to register to get the solution for CBSE Test Paper.
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The topics and chapters covered under these solved test papers are as below:
1. Relations and Functions
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.
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.
3. Calculus-Continuity and Differentiability
Continuity and Differentiability derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function.
4. Calculus-Applications of Derivatives
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.
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.
6. Calculus-Applications of Integrals
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.
7. Calculus-Differential Equations
Differential Equations Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given.
8. Vectors and Three-Dimensional Geometry
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.
9. Linear Programming
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).
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.
11. CBSE Mixed Test Papers
These Test Papers includes more than 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.