NCERT Mathematics

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

Zeros of a polynomial, relationship between zeros and coefficients.

Graphical and algebraic methods, substitution, elimination.

Standard form, factorisation, completing the square, discriminant.

nth term, sum of first n terms, applications.

Similarity, Basic Proportionality Theorem, Pythagoras theorem.

Distance formula, section formula, area of a triangle.

Ratios, identities, values of standard angles.

Heights and distances, angles of elevation and depression.

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

Division of line segment, tangents to a circle.

Perimeter and area of a circle, sector, segment.

Combination of solids, conversion of solids, frustum of a cone.

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

Classical definition, simple problems on single events.