Question 8 - End-of-Chapter Exercises - Chapter 5 Class 9 - Iām Up and Down, and Round and Round (Ganita Manja
Last updated at May 26, 2026 by Teachoo
End-of-Chapter Exercises
Question 1
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Class 9
Chapter 5 Class 9 - Iām Up and Down, and Round and Round (Ganita Manja
- Definitions
- Symmetries of Circle
- Number of Circles
- Exercise Set 5.1
- Think, Draw and Infer (Page 98)
- Angle Subtended by Chords
- Exercise Set 5.2
- Mid-points and Perpendicular Bisectors of Chords
- Exercise Set 5.3
- Distance of Chords from the Centre
- Exercise Set 5.4
- Distance of unequal chords from center
- Exercise Set 5.5
- Angle subtended by an arc
- Exercise Set 5.6
- Concyclicity of Points and Cyclic Quadrilateral
- Theorems (and their Proofs)
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End-of-Chapter Exercises
Transcript
Question 8 Quadrilateral PQRS is inscribed in a circle. If ā P=(2š„+10)^ā and ā R=(3š„ā20)^ā, find the value of š„ and the measures of ā P and ā R. In a cyclic quadrilateral Opposite angles are supplementary Thus, ā P + ā R = 180Ā° (2š„+10)+(3š„ā20)=180 (2š„+3š„)+(10ā20) =180 5š„ā10=180 5š„=180+10 šš=ššš š„=190/5 š=šš Thus, ā P = 2š„+10=2 Ć 38+10=76+10=ššĀ° ā Q = 3š„ā20=3Ć 38ā20=114ā20=ššĀ° š„=190/5 š=šš Thus, ā P = 2š„+10=2 Ć 38+10=76+10=ššĀ° ā Q = 3š„ā20=3Ć 38ā20=114ā20=ššĀ°
