Two tangents AP and AQ are drawn to a circle with centre O from an external point A, where P and Q are points on the circle. If AP = 12 cm and ∠PAQ = 60o, then the length of chord PQ is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 12 cm
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Understanding Tricks |
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Application Given ∠PAQ = 60o So ∠PAO = 30o
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In Triangle PRA ⇒ sin30 = PR/12 ⇒ 1/2 = PR/12 ⇒ PR = 6 |
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Hence chord PQ = PR + RQ = 2PR PQ = 12 |
