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Question

Two tangents PA and PB are drawn to the circle with centre O, such that APB =120what is the relation between OP and AP?


A

OP = 1/2 AP

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B

AP = 2 /3 OP

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C

OP = 2 AP

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D

OP = AP

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Solution

The correct option is C

OP = 2 AP


APB = 120

APO = ∠OPB=60

cos 60= APOP
12 = APOP

OP = 2AP


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