Class XII

This unit from Gamma-Question-Bank-for-Engineering-Mathematics has 14 chapters to practice on Class XII

This chapter provides knowledge of matrices. Types of matrices are described here. We will learn scalar multiple of matrix and multiplication of matrices, transpose of a matrix. It explains determinants, adjoint, and inverse and rank of a matrix.

This chapter teaches us how determinants are used for solving linear equations. The determinant is a function of the entries of a square matrix. It helps in characterizing some properties of the matrix and the linear map represented by a matrix.

This chapter throws light on the concept of probability. It is the measure of the likelihood of an event to occur. MCQs with explanatory answers are provided for practice.

This chapter talks about inverse trigonometric functions. We will learn to reduce a trigonometric function into a bijective function. Graphs of these are explained here. We will also understand the properties of inverse trigonometric functions.

This chapter teaches us the application of the systems of linear inequalities or equations and their formation. The problems we learn to solve include optimization problems and linear programming problems through graphical representation.

This chapter tells us about real functions. It deals with graphs of trigonometric functions and continuous functions. We will also study the algebra of continuous function and relation between continuity and differentiability.

This chapter focuses on the application of derivatives. It explains Maclaurin's theorem, Taylor's theorem, and Euler's theorem on homogeneous functions. It describes the monotonicity of functions and maxima and minima of functions.

This chapter explains integration by substitution and parts methods using some formulas. It discusses the evaluation of some special integrals. We also learn the differences between integration and differentiation through examples and exercises.

This chapter highlights definite integrals. It explains definite integral as a limit of sum and interpretation of definite integral as an area. The fundamental theorem of integral calculus is identified here. The reduction formula is also discussed.

This chapter introduces us to the different applications of integrals and integration with the help of examples and graphs. We will learn to calculate the area under different curves in this chapter by integration.

This chapter outlines the basics of differential equations and their formation. We further learn about linear and exact differential equations, variable separable form, and applications of differential equations.

This chapter introduces the basic concepts of vectors and explains the properties of different types of vectors. The addition and multiplication of vectors are also discussed here.

This chapter focuses on the basics of three-dimensional geometry. It discusses lines and planes in 3D along with direction cosines and direction ratios. Further, it describes skew lines, coplanar lines, and the family of planes.