Real Numbers
Euclid's division lemma and the fundamental theorem of arithmetic.
Mathematics · Class 10
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Polynomials
Zeroes and their relationship with coefficients.
Pair of Linear Equations in Two Variables
Graphical and algebraic methods.
Quadratic Equations
Factorisation, the quadratic formula and the discriminant.
Arithmetic Progressions
nth term and sum of an AP.
Triangles
Similarity criteria and the Pythagoras theorem.
Introduction to Trigonometry
Trigonometric ratios and identities.
Statistics
Mean, median and mode of grouped data.
Probability
Classical probability of simple events.
Coordinate Geometry
Distance, section and area formulas in the Cartesian plane.
Some Applications of Trigonometry
Use angles of elevation and depression to calculate inaccessible heights and distances.
Circles
Prove and apply the geometry of tangents drawn to a circle.
Areas Related to Circles
Calculate sectors, segments, and composite regions involving circles.
Surface Areas and Volumes
Analyse composite solids and convert dimensions into capacity and exposed area.