ABCD is a trapezium in which AB||DC and its diagonals intersect each other at the point O. Show that `(A O)/(B O)=(C O)/(D O)`.

ABCD is a trapezium in which ABIDC and its diagonals intersect each other at the point 0. Show that (AO)/(BO)=(CO)/(DO)

ABCD is a trapezium such that AB||CD. Its diagonals AC and BC intersect each other at O. Prove that (AO)/(OC) = (BO)/(OD)

ABCD is a trapezium in which AB||CD and AB=2CD . It its diagonals intersect each other at O then ratio of the area of triangle AOB and COD is

In figure , if ABabs()DC and AC, PQ intersect each other at the point O. Prove that OA.CQ=OC.AP.

A B C D is a trapezium such that B C || A D and A B=4c m . If the diagonals A C and B D intersect at O such that (A O)/(O C)=(D O)/(O B)=1/2 , then B C= 7c m (b) 8c m (c) 9c m (d) 6c m

A B C D is a trapezium in which A B C D . The diagonals A C and B D intersect at O . Prove that (i) A O B C O D (ii) If O A=6c m , O C=8c m , Find: (A r e a ( A O B))/(A r e a ( C O D)) (b) (A r e a ( A O D))/(A r e a ( C O D))