Mathematics (Class 10) Study Materials

Euclid's division lemma, fundamental theorem of arithmetic, rational and irrational numbers.

Types, zeroes, relationship between zeroes and coefficients, and division algorithm.

Graphical and algebraic methods — substitution, elimination, cross-multiplication.

Methods of solving, discriminant, nature of roots, and word problems.

General term, sum of AP, and word problems.

Similarity criteria, BPT, Pythagoras theorem, and area of similar triangles.

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

Trigonometric ratios, identities, heights and distances, and angles of elevation.

Tangent, number of tangents, theorem on tangents, and related problems.

Area of circle sectors, surface area and volume of cone, sphere, cylinder, and combinations.

Mean, median, mode for grouped data, and cumulative frequency.

Basic probability, experimental vs theoretical, and standard problems.