In figure, ABE is a in which `AE=BE` . Circle passing through A and B intersects AE and BE at D and C respectively. Prove that `DC||AB`.

In figure,ABE is a in which AE=BE .Circle passing through A and B intersects AE and BE at D and C respectively.Prove that DC| AB.

In an isosceles triangle ABC with AB=AC a circle passing through B and C intersects the sides AB and AC at D and E respectively. Prove that DE|CB.

In an isosceles triangle ABC with AB=AC , a circle passing through B and C intersects the sides AB and AC at D and E respectively.Prove that DEBC

A line parallel to BC of a triangle ABC, intersects AB and AC at D and E respectively. Prove that (AD//DB) =( AE//EC) .

AB is a diameter of a circle. BP is a tangent to the circle at B . A straight line passing through A intersects BP at C and the circle at D . Prove that BC^(2)=ACxxCD .

In the figure, ABC is a triangle in which AB= AC. Points D and E are points on the side AB and AC respectively such that AD=AE. Show that points B, C, E and D lie on a same circle.

In Figure,ABC is a triangle in which AB=AC. Point D and E are points onthe sides AB and AC respectively such that AD=AE .Show that the points B,C,E and D are concyclic.

ABCD is a parallelogram . The circle passing through the vertices. A, B and C intersects CD (or CD produced) at E. Prove that AE=AD .

ABCD is a parallelogram . The circle passing through the vertices. A, B and C intersects CD (or CD produced) at E. Prove that AE=AD .

A straight line drawn through D of the parallelogram ABCD intersects AB and the extended part of CB at the points E and F respectively. Prove that AD:AE=CF:CD .