Class 10 Mathematics

Includes Euclid's Division Lemma & Fundamental Theorem of Arithmetic.

• Euclid's Division Lemma
• HCF & LCM through Prime Factorization
• Rational & Irrational Numbers
• Decimal Expansions

Polynomial identities and zeroes of polynomial functions.

• Zeroes of a Polynomial
• Relationship between Zeroes & Coefficients
• Geometrical Meaning of Zeroes
• Division Algorithm

Solving equations using graphical & algebraic methods.

• Graphical Method
• Substitution Method
• Elimination Method
• Cross-Multiplication
• Equation Consistency

Roots of quadratic equations using formula & factorization.

• Standard Form
• Factorization
• Quadratic Formula
• Nature of Roots

Study sequences & series with constant difference.

• Introduction to AP
• nth Term
• Sum of First n Terms
• Applications in Real Life

Similarity of triangles and related theorems.

• Basic Proportionality Theorem
• Criteria of Triangle Similarity
• Areas of Similar Triangles
• Pythagoras Theorem

Distance, Section Formula & Area of Triangle.

• Distance Formula
• Section Formula
• Midpoint Formula
• Area of Triangle

Trigonometric ratios & identities.

• Trigonometric Ratios
• Trigonometric Identities
• Table of Standard Angles
• Simple Problems

Heights & Distances.

• Angle of Elevation
• Angle of Depression
• Real-life Applications

Tangents and chord theorems.

• Basics of Circle
• Tangent Properties
• Lengths of Tangents
• Theorem Related to Tangent

Geometric constructions with ruler & compass.

• Division of Line Segment
• Tangents to a Circle
• Similar Triangle Construction

Sector, segment, and ring-shaped areas.

• Circumference of Circle
• Area of Circle
• Sector & Segment
• Combinations of Plane Figures

3D shapes & real-life applications.

• Cuboid & Cube
• Cylinder
• Cone
• Sphere
• Frustum

Representation of data.

• Mean
• Median
• Mode
• Cumulative Frequency

Basic probability & examples.

• Classical Probability
• Simple Experiments
• Real-life Problems