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Question

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :


A

12 cm

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B

8.5 cm

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C

√119 cm

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D

13 cm

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Solution

The correct option is C

√119 cm


ΔOPQ is right angled at P. Using Pythagoras theorem PQ2 = 12 2 – 5 2 = √119 cm


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