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Question

# C is a circle centered at O. PT1 and PT2 are the tangents drawn from a point P outside the circle to the circle. Then which of these is the most appropriate relation.

A

OP>PT2=PT1

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B

OP=PT1=PT2

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C

OP<PT1PT2

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D

OP<PT1=PT2

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Solution

## The correct option is A OP>PT2=PT1 Firstly, any 2 tangents drawn to a circle will have equal length i.e.,PT1=PT2 Also, △OT1P is right angled at T1 and OP forms the hypotenuse, hence larger than other two sides OT1 and PT1. ∴ Line joining centre and P is always greater than the lengths of the tangents.

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