Q. 93.9( 17 Votes )

Prove that the ta

Answer :

Let QR be a chord in a circle with center O and 1 and 2 are the angles made by tangent at point R and Q with chord respectively.

To Prove : 1 = 2

Let P be another point on the circle, then, join PQ and PR.

Since, at point Q, there is a tangent.

RPQ = 2 [angles in alternate segments are equal] [Eqn 1]

Since, at point R, there is a tangent.

RPQ = 1 [angles in alternate segments are equal] [Eqn 2]

From Eqn 1 and Eqn 2

1 = 2

Hence Proved .

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