Question

the common tangent AB and CD to two circles with Centre O and O' intersect at E between the centres prove that O,O'and E are collinear​

Answer 1

given....

Co...... Joi........OA & OC.

In △OAE & △OCE, we have

OA= OC

OE=OE

∠OAE= ∠OCE

so △OAE≅ △OCE(sas)

so∠AEO= ∠CEO

like this

∠BEO

=∠DEO

′∠AEC= ∠DEB

2

1

∠AEC=

2

1

∠DEB

∠AEO= ∠CEO= ∠BEO

′= ∠DEO

so, these angles are equal and are bisected by OE & O'E,

O,E,O

colli......... proved.........by pk.....

now . u are happy...