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In Figure , common tangents AB and CD to the two circles with

Question

In Figure , common tangents AB and CD to the two circles with centres $O_{1}$ and $O_{2}$ intersect at E. Prove that AB = CD.

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In Figure , common tangents AB and CD to the two circles with centres

O_{1}

and

O_{2}

intersect at E. Prove that AB = CD.

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

From the given figure,

A B

and

C D

are common tangents on both the circles.

A B

and

C D

intersect at

E

.

Now,

E A = EC

(Tangents drawn on circle from same point)

EB = E D

(Tangents drawn on circle from same point)

E A + EB = EC + E D

A B = C D

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Question Text	In Figure , common tangents AB and CD to the two circles with centres $O_{1}$ and $O_{2}$ intersect at E. Prove that AB = CD.
Answer Type	Text solution:1
Upvotes	150