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Question

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

A
12 cm
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B
163 cm
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C
119 cm
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D
None of these
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Solution

The correct option is D 119 cm
The radius of the circle =5cm

OQ=12cm

OPQ=90o [ The tangent to a circle is perpendicular to the radius through the point of contact]

PQ2=OQ2OP2 [ By Pythagoras theorem]

PQ2=12252=14425=119

PQ=119 cm

1392989_922158_ans_18b8765fbc374875a888529ae05681c4.PNG

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