Question

in the given figure common tangents ab and CD to the two circles intersect at e prove that AB=CD​

Answer 1

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Secondary SchoolGeography 5+3 pts

In the given figure common tangents A B and C D to the two circle intersect at E. prove that a b is equal to CD



Answer

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Common tangents AB and C to the two circles with centres O1 and O2 intersect at E.

EA = EC ---------- (1) [Tangents drawn from an external point to a circle are equal]

EB = ED ------------ (2) [Tangents drawn from an external point to a circle are equal]

Adding equations (1) and (2),

EA + EB = EC + ED

AB = CD