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NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3

NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.

  • Circles Class 9 Ex 10.1
  • Circles Class 9 Ex 10.2
  • Circles Class 9 Ex 10.3
  • Circles Class 9 Ex 10.4
  • Circles Class 9 Ex 10.5
  • Circles Class 9 Ex 10.6
Board CBSE
Textbook NCERT
Class Class 9
Subject Maths
Chapter Chapter 10
Chapter Name  Quadrilaterals
Exercise  Ex 10.3
Number of Questions Solved 3
Category NCERT Solutions

NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3

Ex 10.3 Class 9 Maths Question 1.
Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?
Solution.
Different pairs of circles are given below :
(i) Two points are common
NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.1
(ii) One point is common
NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.2
(iii) No point is common

NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.3
(iv) No point is common
NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.4
(v) One point is common
NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.5
From figures, it is obvious that these pairs may have 0 or 1 or 2 points in common. Hence, a pair of circles cannot intersect each other at more than two points.

Ex 10.3 Class 9 Maths Question 2.
Suppose, you are given a circle. Give a construction to find its center.
Solution.
NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.6
Steps of Construction

  • Take three points P, Q, and R on the circle.
  • Join PQ and
  • Draw MT and NS, which are respectively the perpendicular bisectors of PQ and RQ and intersecting each other at a point 0. Hence, 0 is the center of the circle.

Ex 10.3 Class 9 Maths Question 3.
If two circles intersect at two points, prove that their centers lie on the perpendicular bisector of the common chord.
Solution.
NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.7
Given: Two circles with centers O and O’ intersect at two points M and N, so that MN is the common chord of the two circles and 00′ is the line segment joining their centers. Let OO’ intersects MN at P.
To prove: OO’ is the perpendicular bisector of MN.
NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3.8

We hope the NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3 help you. If you have any query regarding NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.3, drop a comment below and we will get back to you at the earliest.

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