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From Karnataka Open Educational Resources
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Tangents AP and AQ are drawn to circle with centre O, from an external point A. Prove that  ∠PAQ=2.∠ OPQ
 
Tangents AP and AQ are drawn to circle with centre O, from an external point A. Prove that  ∠PAQ=2.∠ OPQ
 
[[File:image_circle_with_tangents.png|300px]]
 
[[File:image_circle_with_tangents.png|300px]]
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==Interpretation of the problem==
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O is the centre of the circle and tangents AP and AQ are drawn from an external point A. OP and OQ are the radii. The students have to prove thne angle PAQ=twise the angle OPQ.
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