Question

In the given figure the common tangents AB and CD to two circles with centres O and O' and intersect at E . Prove that the points O , E and O' are collinear

Answer 1

Answer:

we know that,

tangents from the same point are equal.

therefore, AE=CE      .........i

similarly,

EB=ED                        .........ii

adding i and ii

AE+EB=CE+ED

AB+CD