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Lengths of Tangents Drawn from External Point

In fig. 1 if ...

Question

In fig. 1 if PQ and PT are tangents from an external point P to a circle with centre O and radius 5 cm. If $P Q = 12$ cm, then the perimeter of quadrilateral PQOT is

A

24cm

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B

34cm

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C

35cm

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D

20cm

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Solution

The correct option is B 34cm

PQ and PT are the tangents drawn from external point P
Hence PQ=PT=12cm
and OQ =OT=5cm (Radii)
perimeter of PQOT = PQ+QO+OT+PT
=12+5+5+12
=34cm
option B will be the answer.

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