Question

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 1

HOPE this pic will help u

Answer 2

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