Class 10 Mathematics

Euclid's division lemma, Fundamental Theorem of Arithmetic, revisiting irrational numbers, and decimal expansions of rational numbers.

Geometrical meaning of the zeroes of a polynomial, relationship between zeroes and coefficients, and division algorithm for polynomials.

Graphical method of solution, algebraic methods of solution (substitution, elimination, cross-multiplication), and equations reducible to a pair of linear equations.

Standard form of a quadratic equation, solution by factorization, solution by completing the square, and nature of roots.

Introduction to Arithmetic Progressions, nth term of an AP, and sum of first n terms of an AP.

Similar figures, similarity of triangles, criteria for similarity, areas of similar triangles, and Pythagoras theorem.

Distance formula, section formula, and area of a triangle.

Trigonometric ratios, trigonometric ratios of some specific angles, trigonometric identities, and trigonometric ratios of complementary angles.

Heights and distances, angles of elevation and depression.

Tangent to a circle, and number of tangents from a point on a circle.

Division of a line segment, and construction of tangents to a circle.

Perimeter and area of a circle, areas of sector and segment of a circle, and areas of combinations of plane figures.

Surface area of a combination of solids, volume of a combination of solids, conversion of solid from one shape to another, and frustum of a cone.

Mean of grouped data, mode of grouped data, median of grouped data, and graphical representation of cumulative frequency distribution.

A theoretical approach to probability.