Bestseller
Bestseller
Mathematics in Class 12 focuses on developing analytical thinking, logical reasoning, and problem-solving skills. The subject covers important topics such as relations and functions, matrices, determinants, calculus, vectors, three-dimensional geometry, linear programming, and probability. These concepts help students understand mathematical models used in science, engineering, economics, and technology.
Types of relations, types of functions, composition of functions, and inverse of functions.
Definition, properties, principal values, and basic identities of inverse trigonometric functions.
Concept of matrices, types of matrices, matrix operations, transpose of a matrix, and applications.
Determinant of a matrix, properties of determinants, minors and cofactors, adjoint and inverse of a matrix, and solving linear equations.
Concept of continuity, differentiability, derivatives of functions, and logarithmic differentiation.
Increasing and decreasing functions, maxima and minima, tangents and normals, and rate of change.
Integration as inverse of differentiation, methods of integration, and definite integrals.
Area under curves and between two curves using definite integrals.
Formation of differential equations, methods of solving first order differential equations, and applications.
Vectors, scalar and vector products, and applications in geometry.
Direction cosines, direction ratios, equations of lines and planes in 3D space.
Optimization problems using linear inequalities and graphical method.
Conditional probability, independent events, Bayes’ theorem, and random variables.
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