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
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
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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...