Volume of a Combination of Solids

Real Numbers

• Concept of Divisibility
• Euclid's Division Lemma
• Euclid’s Division Algorithm
• Application of Euclid Lemma > Finding the HCF of Two Positive Integers
• Application of Euclid Lemma > Finding the HCF of Three Numbers
• Application of Euclid Lemma > On Expressing the HCF of Two Numbers a and b in the Form xa + yb
• Fundamental Theorem of Arithmetic
• Applications of the Fundamental Theorem of Arithmetic
• Rational Numbers
• Irrational Numbers
• Nature of the Decimal Expansions of Rational Numbers

Polynomials

• Concept of Polyomial
• Geometrical Meaning of the Zeroes of a Polynomial
• Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation

Pair of Linear Equations in Two Variables

• Graphical Method of Solution of a Pair of Linear Equations
• Substitution Method
• Elimination Method

Quadratic Equations

• Concept of Quadratic Equations
• Method of Solving a Quadratic Equation>Factorisation Method
• Nature of Roots of a Quadratic Equation

Arithmetic Progressions

• Concept of Arithmetic Progression (A.P.)
• General Term (nth) of an Arithmetic Progression
• Sum of First ‘n’ Terms of an Arithmetic Progressions

Coordinate Geometry

• Foundation of Coordinate Geometry
• Distance Formula
• Section Formula in Coordinate Geometry

Triangles

• Similarity and Congruency of Figures
• Similarity of Triangles (Corresponding Sides & Angles)
• Criteria for Similarity of Triangles

Circles

• Tangent to a Circle
• Number of Tangents from a Point on a Circle

Introduction to Trigonometry

• Trigonometric Ratios
• Trigonometric Ratios of Specific Angles
• Trigonometric Table
• Trigonometric Identities (Square Relations)

Some Applications of Trigonometry

• Angles of Elevation and Depression
• Problems based on Elevation and Depression

Areas Related to Circles

• Area of a Sector of a Circle
• Area of a Segment of Circle

Surface Areas and Volumes

• Surface Area of a Combination of Solids
• Volume of a Combination of Solids

Statistics

• Mean of Grouped Data
• Mode of Grouped Data
• Median of Grouped Data

Probability