Algebra

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

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

This chapter covers topics such as Harmonic Progressions, Basics of Sequence and Series, A.M., G.M., H.M. and Relations, Geometric Progressions, Arithmetic Progressions, Series of Natural Numbers and other Miscellaneous Series, etc.

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, De Moivre's Theorem, etc.

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

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

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

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

This chapter covers topics such as Addition and Multiplication Theorems of Probability, Bernoulli Trials and Binomial Distribution, Algebra of Probabilities, Basics of Probability, Conditional Probability, Bayes' Theorem, etc.