`A B C D` is a cyclic quadrilateral. `A Ba n dD C` are produced to meet in `Edot` Prove that `E B C-E D Adot`

A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in Edot Prove that E BC ~EDAdot

A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when produced meet in E\ a n d\ E A=E Ddot Prove that: (i) A D is p a r a l l e l t o B C (ii) E B=E C

If A B C D is a cyclic quadrilateral in which A D || B C . Prove that /_B=/_C

In Figure, A B C D is a cyclic quadrilateral. A circle passing through A\ a n d\ B meets A D\ a n d\ B C in the points E\ a n d\ F respectively. Prove that E F || D C

In Figure, A B C D is a quadrilateral and B E|A C and also B E meets D C produced at Edot Show that area of A D E is equal to the area of the quadrilateral A B C D

A B C D is a parallelogram. If A B is produced to E such that B E=A B . Prove that E D bisects B C .

A B C D is a parallelogram. A B is produced to E so that B E=A B . Prove that E D bisects B C .

A B C D is a cyclic quadrilateral whose diagonals A C\ a n d\ B D intersect at Pdot If A B=D C , prove that: P A B\ ~= P D C P A=P D\ a n d\ P C=P B (iii) A D B C

A B C D is a cyclic quadrilateral whose diagonals A C\ a n d\ B D intersect at P . If A B=D C , prove that: (i) P A B\ ~= P D C (ii) P A=P D\ a n d\ P C=P B (iii) A D || B C

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot