Q7 of 47 Page 1

In figure 1, common tangents AB and CD to the two circles with centres O1 and O2 intersect at E. Prove that AB = CD.

From the given figure,

AE = CE [Tangents drawn from an external point to the same circle are equal]


EB = ED [Tangents drawn from an external point to the same circle are equal]


⸫ AE + EB = CE + ED


⸫ AB = CD


Hence Proved.


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