The common tangents AB and CD to two circles O and O\' intersecct at E . Prove that AB =CD.\xa0

The common tangents AB and CD to two circles O and O\' intersecct at E

1.	The common tangents AB and CD to two circles O and O\' intersecct at E . Prove that AB =CD.\xa0
Answer» It isEA\xa0and EC are the tangents of circle with centre O soEA=EC (Tangents drawn from the external point of circle are equal)-1NowSimilarly,ED and EB are the tangents of circle with centre O\' soEB=ED (Tangents drawn from external point of circle are equal)-2Adding 1 and 2EA+EB=EC+EDAB=CD