Question

Prove that the tangent drawn to the end points of a chord of circle make equal angle with the chord​

Answer 1

FIGURE IS IN THE ATTACHMENT

Let AB be a chord of a circle with center O and let AP and BP be the tangents at A

and B.

Let the tangent meet at P.Join OP Suppose OP meets AB at C.

To prove : ZPAC = ZPBC

Proof: In APAC and APBC

PA = PB [Tangents from an external point to a circle are equal]

ZAPCO = Z PC [PA and PB are equally = inclined to OP]

PC = PC [Common]

APAC = APBC [SAS Congruence]

ZPAC = ZPBC [C.P.C.T]

HOPE THIS WILL HELP YOU....

Answer 2

Answer:

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