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

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

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

In figure, AB and CD are common tangents to two circles of unequal radii. Prove that AB=CD

In figure, AB and CD are common tangents to two circles of unequal radii. Prove that AB=CD