Class 11 Algebra

Covers the fundamental concepts of set theory: definitions of sets, the empty set, finite and infinite sets, subsets, equality of sets, the universal set, operations such as union, intersection, and difference, complements, and Venn diagram representations.

Introduces ordered pairs and Cartesian products of sets, defines relations as subsets of these products with various properties, and presents functions as special relations that establish precise correspondences between elements of sets.

Extends the number system beyond the reals by introducing the imaginary unit i (i^2 = −1). Covers algebra of complex numbers, conjugate and modulus, geometric representation on the Argand plane, polar (trigonometric) form, and solving quadratic equations with negative discriminant.

Introduces inequality notation (<, ≤, >, ≥) and the algebra of inequalities, including when the inequality sign reverses. Covers solution sets of linear inequalities in one variable (expressed on the number line and in interval notation) and in two variables (graphing half-planes using boundary lines that are solid or dashed). Extends to systems of linear inequalities and the feasible region, with applications to real-life constraints and word problems.

This chapter covers the fundamental principles of counting, including arrangements (permutations) and selections (combinations), and their application in the Binomial Theorem.

This chapter covers the binomial expansion for positive and any indices, properties of binomial coefficients, and various applications like finding specific terms, remainders, and approximations.

This chapter covers various types of progressions including Arithmetic (AP), Geometric (GP), and Harmonic (HP), the relationship between their means, and methods for summing special series.

A comprehensive revision module covering key Algebra topics for Class 11 exams, including derivations, formulas, and problem-solving techniques.