Algebra

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

This chapter covers topics, such as, Algebraic Equations and Identities, Quadratic Equation and its Solution, Conditions for Common Roots & Location of Roots etc.

This chapter covers topics, such as Harmonic Progressions, Arithmetic 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, Algebra of Complex Numbers, Basics of Complex Numbers, Triangle Inequality & Algebraic Equations in Complex Numbers etc.

This chapter covers topics, such as, General Term and Middle Term, Greatest Term in Binomial Expansion, Binomial Theorem for Positive Integral Index, Multinomial Theorem, Binomial Theorem for any Index & Series involving Binomial Coefficients etc.

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

This chapter covers topics, such as, Properties of Determinants, Symmetric and Skew-Symmetric Matrices, Eigenvalues and Characteristic Equation & Special Types of Matrices etc.

This chapter covers topics, such as, Basics of Probability, Algebra of Probabilities, Bayes' Theorem & Probability Distribution of a Random Variate etc.