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

In Fig common tangents AB and CD to two circles with centres O_1 and O_2 intersect at E. Prove that AB = CD.

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

In figure, common tangents AB and CD to two circles intersect at E. Prove that AB=CD.

Common tangents AB and CD to two circles intersects at E.Prove that AB=CD

In the adjoining figure, common tangents AB and CD to two circles intersect at P. Prove that AB=CD.

In the figure,two equal chords AB and CD of a circle with centre O ,intersect each other at E , Prove that AD=CB

In the figure, PQ and RS are the common tangents to two circles intersecting at O. Prove that PQ=RS

In Figure,two tangents ABandAC are drawn to a circle with centre O such that /_BAC=210^(0) .Prove that OA=2AB

In the figure,tangents at B and C of the circle with centre O intersect at point A. If /_BAC = 90^(@) then prove square BACO is a square