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प्रश्न
The lengths of two tangents drawn from an external point to a circle are ______.
रिकाम्या जागा भरा
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उत्तर
The lengths of two tangents drawn from an external point to a circle are equal.
Explanation:
Let P be the external point and PA, PB the tangents touching the circle at A and B. Radii OA and OB are each perpendicular to the tangents, so ∠OAP and ∠OBP are right angles. In right triangles OAP and OBP, the hypotenuse OP is common and OA = OB (radii). By RHS congruence the triangles are congruent, so PA = PB.
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