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Question

In the given figure, point P is 26  cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is 

(a) 10 cm  (b) 12 cm  (c) 13 cm (d) 15 cm


Solution

Let r be the radius and O be the center of the circle on which PT is a tangent from point P.

In right angled triangle OTP.

O T squared plus P T squared equals O P squared r squared plus 24 squared equals 26 squared r squared equals 676 minus 576 r squared equals 100 r equals 10 c m

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