Question 8 - End-of-Chapter Exercises - Chapter 5 Class 9 - Iโm Up and Down, and Round and Round (Ganita Manja
Last updated at August 12, 2026 by Teachoo
End-of-Chapter Exercises
Question 1
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Maths Class 9
Chapter 5 Class 9 - Iโm 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
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Transcript
Question 8 Quadrilateral PQRS is inscribed in a circle. If โ P=(2๐ฅ+10)^โ and โ R=(3๐ฅโ20)^โ, find the value of ๐ฅ and the measures of โ P and โ R. In a cyclic quadrilateral Opposite angles are supplementary Thus, โ P + โ R = 180ยฐ (2๐ฅ+10)+(3๐ฅโ20)=180 (2๐ฅ+3๐ฅ)+(10โ20) =180 5๐ฅโ10=180 5๐ฅ=180+10 ๐๐=๐๐๐ ๐ฅ=190/5 ๐=๐๐ Thus, โ P = 2๐ฅ+10=2 ร 38+10=76+10=๐๐ยฐ โ Q = 3๐ฅโ20=3ร 38โ20=114โ20=๐๐ยฐ ๐ฅ=190/5 ๐=๐๐ Thus, โ P = 2๐ฅ+10=2 ร 38+10=76+10=๐๐ยฐ โ Q = 3๐ฅโ20=3ร 38โ20=114โ20=๐๐ยฐ
