Question

If PA and PB are two tangents drawn to a circle with centre O such that angle BPA=120°,prove that OP=2PB.

Answer 1

figure is attached with this answer
Solution

since, ∠APB=120°
therefore, ∠OPB=60°
In ΔPOB
cos60° = BP/OP
1/2= BP/OP
2BP=OP
Hence proved.

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