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Introduction to Lines and Angles

Last Updated: 01 May 2026

In mathematics, a line is used to represent a straight path that has length but no width or depth. Helps us describe the shape and direction of objects around us.An angle ...read more

Introduction to Inequalities

Last Updated: 28 April 2026

An inequality is a mathematical statement that compares two quantities or expressions and shows their relative size using symbols such as , , ≥, ≤, or ≠ instead of stating...read more

Introduction to Polynomials

Last Updated: 28 April 2026

Polynomials are algebraic expressions made using numbers and variables, combined through addition, subtraction, and multiplication, where the variables have only non-negat...read more

Practice Questions on Congruence of Triangles

Last Updated: 09 February 2026

Triangles are said to be congruent if they measure same in size. There are various ways to determine the congruency of two triangles. Practice Questions on Congruence of T...read more

Practice Questions on Coordinate Geometry

Last Updated: 11 February 2026

Coordinate geometry is essential for anyone who wants to study mathematics, physics, engineering, or computer science. Coordinate geometry is a branch of mathematics that...read more

Practice Problem on Linear Equations in Two Variables

Last Updated: 16 June 2026

Linear equations in two variables are expressed in the form ax + by + c = 0, where a, b, and c are real numbers, and a and b are not both zero. The solution of the equatio...read more

NCERT Solutions Class 9 - Chapter 12 Statistics - Exercise 12.1

Last Updated: 26 April 2024

Question 1. A survey conducted by an organization for the cause of illness and death among the women between the ages 15–44 (in years) worldwide, found the following figur...read more

NCERT Solutions Class 9 - Chapter 11 Surface Areas And Volumes - Exercise 11.4

Last Updated: 26 April 2024

Question 1: Find the volume of a sphere whose radius is(i) 7 cm (ii) 0.63 m (Assume π =22/7)Solution:(i) Given: Radius of sphere, r = 7 cmBy using the formula, volume o...read more

NCERT Solutions Class 9 - Chapter 11 Surface Areas And Volumes - Exercise 11.3

Last Updated: 26 April 2024

Question 1. Find the volume of the right circular cone with(i) radius 6 cm, height 7 cm (ii) radius 3.5 cm, height 12 cmSolution:Volume of cone (V) = (1/3) × πr2h(i) Given...read more

NCERT Solutions Class 9 - Chapter 11 Surface Areas And Volumes - Exercise 11.2

Last Updated: 23 July 2025

Question 1. Find the surface area of a sphere of radius:(i) 10.5cm (ii) 5.6cm (iii) 14cm(Assume π=22/7)Solution:We know that, Surface area of sphere (SA) = 4πr²(i) Radius ...read more

NCERT Solutions Class 9 - Chapter 11 Surface Areas And Volumes - Exercise 11.1

Last Updated: 23 July 2025

Question 1: Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.Solution:Given:Radius = diameter / 2 Radius(r) = (10.5/2)...read more

NCERT Solutions Class 9 - Chapter 10 Heron's Formula - Exercise 10.1

Last Updated: 26 April 2024

Question 1. A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its p...read more

NCERT Solutions Class 9 - Chapter 9 Circles - Exercise 9.3

Last Updated: 26 April 2024

Question 1.In fig. 10.36, A, B, and C are three points on a circle with Centre O such that ∠BOC=30° and ∠AOB=60°. If D is a point on the circle other than the arc ABC, fin...read more

NCERT Solutions Class 9 - Chapter 9 Circles - Exercise 9.2

Last Updated: 26 April 2024

Question 1. Two circles of radii 5cm and 3cm intersect at two points and the distance between their centers is 4 cm. Find the length of the common chord.Solution:Given: OP...read more

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Mathematics

Maths-Class-9

NCERT Solutions Class 9 - Chapter 9 Circles - Exercise 9.1

Last Updated: 26 April 2024

Question 1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. Solution...read more

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