Difference between revisions of "Circles Tangents Problems"

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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]]
 +
==Interpretation of the problem==
 +
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.

Revision as of 12:16, 9 July 2014

Problem 1

Tangents AP and AQ are drawn to circle with centre O, from an external point A. Prove that ∠PAQ=2.∠ OPQ Image circle with tangents.png

Interpretation of the problem

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.