# NCERT Exemplar Questions: CBSE Class 9 Mathematics – Chapter 10

Mayank Uttam

NCERT Exemplar class 9 Mathematics problems’  PDF for Chapter 10: Circles is available here. Students can download the complete PDF of this chapter from the link available at the end of this article.

Importance of NCERT Exemplar Problems:

NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. Every year, many questions from the NCERT Exampler are directly asked in the board exams. So, it’s very important for students to practice the NCERT exemplar problems to prepare well for the board exams.

Chapter 10 of NCERT Exemplar class 9 Maths is Circles. It is one of the most important chapters of CBSE class 9th maths.

CBSE Class 9 Maths Online Test

Important topics and theorems of this chapter (as per latest CBSE syllabus for Class 9) are given below:

 Definition of circle Concepts related to circle - radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle Equal chords of a circle subtend equal angles at the center & its converse The perpendicular from the center of a circle to a chord bisects the chord & conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord There is one & only one circle passing through 3 given non-collinear points Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) & conversely The angle subtended by an arc at the center is two times the angle subtended by it at any point on the remaining part of the circle Angles in the same segment of a circle are equal If a line segment joining 2 points subtends equal angle at 2 other points lying on the same side of the line containing the segment, the 4 points lie on a circle The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° & its converse

This chapter of NCERT Exemplar has variety of questions from above mentioned topics.

Importance of Chapter 10, Circles:

Knowledge of important & basic concepts related to Circles is essential for every CBSE class 9 student. Questions based on various concepts of circle are frequently asked in CBSE class 9 maths examinations. Students must study this chapter thoroughly to score well in exams.

CBSE Class 9 Syllabus 2017

Inside Chapter 10 of NCERT Exemplar Class 9 Maths:

This chapter of the book has

 Overview of main concepts and results Few sample questions with detailed solutions 10 Multiple choice questions 10 True & false type question involving explanations 20 Short answer types questions 14 Long answer type questions