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Chords PQ and RS of a circle, when produced, meet at a point O. If PQ = 6 cm, OQ = 8 cm and OS = 7 cm, then length (in cm) of the chord RS is
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- 10
- 12
- 16
- 9
- 10
Correct Option: D
On the basis of question we draw a figure of Chords PQ and RS of a circle, when produced, meet at a point O , 
Given that , PQ = 6 cm, OQ = 8 cm and OS = 7 cm
We know that , OP × OQ = OS × OR
⇒ (6 + 8) × 8 = 7 × OR
| ⇒ OR = | = 16 cm. | |
| 7 |
∴ RS = OR – OS = 16 – 7 = 9 cm.
