Q. 95.0( 3 Votes )
In figure, common tangents AB and CD to two circles intersect at E. Prove that AB = CD.
Answer :
Given: AB and CD are two tangents to two circles which intersects at E.
To Prove: AB = CD
Proof:
As
AE = CE [Tangents drawn from an external point to a circle are equal] [1]
And
EB = ED [Tangents drawn from an external point to a circle are equal] [2]
Adding [1] and [2]
AE + EB = CE + ED
AB = CD
Hence Proved!
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