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A tangent pq at a point …

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A tangent pq at a point p of a circle of radius 5cm meets a line through the centre o at a point q so that oq is 13 cm.find the length of pq

Posted by Kavin Kavin 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

We know that the line drawn from the centre of the circle to the tangent is perpendicular to the tangent.

∴OP ⊥ PQ

By applying Pythagoras theorem in ΔOPQ,

∴OP²+ PQ²= OQ²

5² + PQ²=12²

PQ²=144 − 25

PQ = underroot 119

Hence, the correct answer is underroot 119 cm test.

2Thank You

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CBSE > Class 10 > Mathematics