Algebra

This chapter covers topics such as Ratio and Proportion, Number System, Algebraic Inequalities, Logarithmic Series, Surds and Indices, Partial Fractions, Variation and Exponential Series.

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

This chapter covers topics such as Logarithmic Equations and Inequalities, Basics of Logarithm and Properties of Logarithms.

This chapter covers topics such as Algebraic Equations of Higher Degree, Quadratic Equation and its Solutions, Common Roots, Nature of Roots, Location of Roots, Algebraic Expressions, Equations and Identities, etc.

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

This chapter covers topics such as Basics of Complex Numbers, Properties of Conjugate, Modulus and Argument of Complex Numbers, Roots of Unity, Algebra of Complex Numbers, De Moivre's Theorem, and Geometry of Complex Numbers.

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

This chapter covers topics such as Permutation, Circular Permutation, Inclusion-Exclusion Principle, Division and Distribution of Objects, Fundamental Principles of Counting, and Combination.

This chapter covers topics such as Symmetric and Skew-symmetric Matrices, Properties of Determinants, Algebra of Matrices, Basics of Matrices, Special Types of Matrices, Adjoint of a Matrix, Inverse of a Matrix, Determinant of a Square Matrix, etc.

This chapter covers topics such as Algebra of Statements, Validity of a Statement, Logical Connectives, Quantifiers and Negations, Conditional Statements, and Basics of Mathematical Reasoning.