`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 cyclic quadrilateral whose diagonals A Ca n dB D intersect at P . If A B=D C , Prove that : P A B~= P D C P A=P Da n dP C=P B A D ll B C

A B C D is a cyclic quadrilateral whose diagonals A Ca n dB D intersect at P . If A B=D C , Prove that : P A B~= P D C P A=P Da n dP C=P B A D B C

A B C D is a parallelogram whose diagonals intersect at Odot If P is any point on B O , prove that: a r\ ( A D O)=A R\ ( C D O) a r\ (\ A B P)=\ a r\ (\ C B P)

A B C D is a cyclic quadrilateral in which /_B A D=75^0,\ /_A B D=58^0a n d\ /_A D C=77^0,\ A C\ a n d\ B D intersect at Pdot then, find /_D P C

A B C D is a parallelogram whose diagonals A C\ a n d\ B D intersect at O . A line through O intersects A B\ a t\ P\ a n d\ D C\ at Q . Prove that a r\ (\ /_\P O A)=\ a r\ (\ /_\Q O C) .

A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its diagonals. If /_D B C=55^0\ a n d\ /_B A C=45^0, find /_B C D

A B C D is a parallelogram whose A C\ a n d\ B D intersect at Odot A line through O intersects A B\ a t\ P\ a n d\ D C\ at Qdot Prove that a r\ (\ P O A)=\ a r\ (\ Q O C)dot

Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect each at Pdot Show That: a r(A P B)\ x\ a r\ ( C P D)=\ a r\ (\ A P D)\ \ x\ \ a r\ (\ P B C)

The diagonals of quadrilateral A B C D , A C a n d B D intersect in Odot Prove that if B O=O D , the triangles A B C a n d A D C are equal in area.