Get the modified NCERT Solutions for class 10 Maths Chapter 10 Circles in Hindi and English Medium updated for academic session 2024-25. The solution of chapter 10 class 10 Maths are given here in easy format with video explanation.

Chapter 1 Real Numbers Important Questions
Chapter 2 Polynomials Important Questions
Chapter 3 Linear Equations Important Questions
Chapter 4 Quadratic Equations Important Questions
Chapter 5 Arithmetic Progression Important Questions
Chapter 6 Triangles Important Questions
Chapter 7 Coordinate Geometry Important Questions
Chapter 8 Introduction to Trigonometry Important Questions
Chapter 9 Application of Trigonometry Important Questions
Chapter 10 Circles Important Questions
Chapter 11 Areas Related to Circles Important Questions
Chapter 12 Surface Areas and Volumes Important Questions
Chapter 14 Probability Important Questions
Class: 10Mathematics
Chapter 10:Circles
Content:NCERT Exercise Solutions
Mode of Content:Online Text, Images and Videos
Academic Session:Year 2024-25 Board Exams
Medium:English and Hindi Medium
Class 10 Maths Chapter 10 Topics

NCERT Solutions for class 10 Maths Chapter 10

10th Maths Chapter 10 all Exercises in English Medium and Hindi Medium. View the solutions in Video and PDF Format for CBSE, UP Board as well as MP Board students. These solutions are applicable for the session 2024-25 onward. Students can download 10th Maths Solutions in PDF format free to use offline. UP Board students are now using NCERT Books for their exams. So, they can download UP Board Solutions for Class 10 Maths Chapter 10 all exercise from this page of Tiwari academy. Download UP Board Solution and NCERT Solutions Apps 2024-25 based on latest NCERT Books for academic session 2024-25. All the contents on Tiwari Academy is free to use without any login or registration. If you have any doubt, please visit to discussion forum and ask the same at the platform of knowledge discussion. We are here to help you. If someone is facing difficulty during the use of contents of Tiwari Academy, please contact us for help.

10th Maths Chapter 10 Solutions

NCERT Solutions for class 10 Maths Chapter 10 Circles is given here to free download in PDF or use online without downloading. Download UP Board Solutions for Class 10 Maths which are updated for current academic session 2024-25 for all students who are using latest NCERT Books 2024-25.

Previous Years Questions

Prove that tangents drawn at the ends of a diameter of a circle are parallel to each other. [CBSE 2017]
Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that angle PTQ = 2 (angle OPQ). [CBSE 2017]
Prove that the lengths of tangents drawn from an external point to a circle are equal. [CBSE 2017]

Class 10 Maths Chapter 10 Solutions
Historical Facts!

1. The circle is the most primitive and rudimentary of all human inventions. It is the corner stone in the foundation of science and technology. It is the basic tool used by greatest artists and architects in the history of mankind.
2. The ancient Indian symbol of a circle, with a dot in the middle, known as ‘BINDU’ was probably instrumental in the use of circle as a representation of the concept zero.
3. The ratio of the circumference of a circle to its diameter is always a constant. This constant is universally denoted by Greek letter π.

Which exercise from 10th Maths chapter 10, helps to score more in exams?

There are two exercises in class 10 Maths chapter 10. Exercises 10.2 contains all the important questions which are generally asked in school tests and board exams also. The last 5 questions given in ex. 10.2 is really very good questions to asked in exams.

What do you understand by a Circle and tangent to a circle in class 10 Maths Chapter 10?

Circle: A circle is the set of points in a plane which are at the same distance from a fixed point in the plane. The fixed point is called the centre of the circle and the line segment joining the centre & a point on circle is called radius.

Tangent to a circle: If a line drawn in the plane of a circle intersects the circle in one and only one point, then the line is called a tangent to the circle and the point at which the line intersect the circle is called the point of contact of the line with the circle.

How many theorems are there in Class 10 Chapter 10 Circles to prove?

There are two theorems which asked in board exams to prove.
Theorems on tangent to a circle:
(i). A tangent to a circle is perpendicular to the radius drawn from point of contact or A line drawn perpendicular to a radius at its end point on the circle is a tangent to the circle.
(ii). the tangents drawn to a circle from a point in the exterior of the circle are equal in length or the lengths of tangents drawn from an external point to a circle are equal.

How many exercises are there in class 10 chapter 10 Circles?

There are 2 exercises in class 10 chapter 10 Circles.
In first exercise (Ex 10.1), there are only 4 questions.
In second exercise (Ex 10.2), there are in all 13 questions.
So, there are in all 17 questions in class 10 chapter 10 Circles.
There are only 3 examples (example 1, 2 and 3) in class 10 chapter 10 Circles.

What students will study in chapter 10 Circles of class 10 Maths?

In chapter 10 Circles of class 10 maths, students will study:
1) Meaning of Tangent to a Circle.
2) Meaning of Secant of the circle.
3) Point of Contact.
4) Theorem 10.1 “The tangent at any point of a circle is perpendicular to the radius through the point of contact”.
5) Number of Tangents from a Point on a Circle.
6) Length of the Tangent.
7) Theorem 10.2 “The lengths of tangents drawn from an external point to a circle are equal.”

Which theorem can be asked in exam for proof from chapter 10 Circles of 10th Math?

There are only two theorems in chapter 10 Circles of 10th Math and proof of any theorem can come in exam because both the theorems are equally important from exam point of view. For exams students should prepare both the theorems.

How much time students need to go through the chapter 10 of class 10th math?

Students need maximum 6-7 days to complete chapter 10 (Circles) of class 10th mathematics if they are giving 1 hour per day to chapter 10. Also this time depends on student’s speed, capability and many other factors.

Last Edited: June 1, 2024