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NCERT Solutions For Class 9 Maths Chapter 11 Circles Ex 11.2

Here, Below you all know about NCERT Solutions for Class 9 Maths Chapter 11 Circles Ex 11.2 Question Answer. I know many of you confuse about finding this Chapter 11 Circles Ex 11.2 Of Class 9 NCERT Solutions. So, Read the full post below and get your solutions.

TextbookNCERT
BoardCBSE
CategoryNCERT Solutions
ClassClass 9
SubjectMaths
ChapterChapter 11
ExerciseClass 9 Chapter 11 Circles Exercise 11.2
Number of Questions Solved2
NCERT Solutions For Class 9 Maths Chapter 11 Circles Ex 11.2

NCERT Solutions for Class 9 Maths Chapter 11 Circles Ex 11.2

NCERT TEXTBOOK EXERCISES

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:

Given MN and PQ are two equal chords of two congruent circles with centre at O and O’.
To prove ∠ MON = ∠ PO’Q

Proof In ∆ MON and ∆ PO’Q, we have
MO = PO’ (Radii of congruent circles)
NO = QO’ (Radii of congruent circles)
and MN = PQ (Given)
∴ By SSS criterion, we get
∆ MON = ∆ PO’Q
Hence, ∠ MON = ∠ PO’Q (By CPCT)

Question 2. Prove that, if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

Solution:

Given MN and PQ are two chords of congruent circles such that angles subtended by .
these chords at the centres O and O’ of the circles are equal.

To prove MN = PQ
Proof In ∆ MON and ∆ PO’Q, we get
MO = PO’ (Radii of congruent circles)
NO = QO’ (Radii of congruent circles)
and ∠MON = ∠PO’Q (Given)
∴ By SAS criteria, we get
∆ MON = ∆ PO’Q
Hence, MN = PQ (By CPCT)

NCERT Solutions for Class 9 Maths Chapter 11 Circles Exercise 11.2 PDF

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