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

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In the given figure, point P is 26 cm away from the center 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

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 (a) 10 cm

Construction: Join OT.

We know that the radius and tangent are perpendicular at their point of contact 

In right triangle PTO 

By using Pythagoras theorem, we have

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