Algebra

This chapter covers topics such as Subsets and Power Set, Algebra of Relations, Relations and its Types, Algebra of Sets, Equivalence Relations, and Basics of Sets.

This chapter covers topics such as Graph of Quadratic Expression, Quadratic Equation and its Solution, Nature of Roots, Algebraic Equations and Identities, Algebraic Inequalities, and Formation of Quadratic Equation with Given Roots.

This chapter covers topics, such as Harmonic Progressions, A.M., G.M., H.M. and Relations, Basics of Sequence and Series, Geometric Progressions, Arithmetico-Geometric Progressions, and Arithmetic Progressions.

This chapter covers topics such as Algebraic Equations in Complex Numbers, Algebra of Complex Numbers, Geometry of Complex Numbers, Representation of Complex Numbers, Roots of Unity, Modulus and Argument of Complex numbers, and Triangle Inequality.

The chapter covers topics such as Greatest Term in Binomial Expansion, Binomial Theorem for Positive Integral Index, Properties of Binomial Coefficients, Series involving Binomial Coefficients, Binomial Theorem for any Index, and Multinomial Theorem.

This chapter covers the topic of First Principle of Mathematical Induction.

This chapter covers topics such as Circular Permutations, Combinations, Permutations, Division and Distribution of Objects, Number of Functions, Fundamental Principle of Counting, Derangements, and Geometrical Application of Combinations.

This chapter covers topics such as Adjoint of a Matrix, Basics of Matrices, Systems of Linear Equations, Properties of Determinants, Inverse of a Matrix, Algebra of Matrices, and Eigenvalues and Characteristic Equation.

This chapter covers topics such as Algebra of Probabilities, Addition and Multiplication Theorems of Probability, Bernoulli Trials and Binomial Distribution, Conditional Probability, and Probability Distribution of a Random Variate.