Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that`a r\ (A P B)\ xx\ a r\ (C P D)\ =\ a r\ (A P D)\ xx\ a r\ (B P C)dot`

Diagonals AC and BD of quadrilateral ABCD intersect each other at P. Show that ar (APB) xx ar (CPD) = ar (APD)xx ar(BPC) .

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)

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that ar (APB) xx ar (CPD) = ar (APD) xx ar (BPD). [Hint : From A and C, draw perpendiculars to BD.

Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect each at P . Show that: a r(/_\A P B)\ x \ a r\ (/_\ C P D) = \ a r\ (\ /_\A P D)\ \ x a r\ (\ /_\P B C)

Diagonals AC and BD of a quadrilateral ABCD each other at P. Show that ar (APB) xx ar (CPD) =ar (APD) xx ar (BPC)

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that a r(A O D)= a r(B O C)dot Prove that ABCD is a trapezium.

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then,it is always true that

In Figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that O B = O D . If A B = C D , then show that: (i) a r /_\(D O C) = a r /_\(A O B) (ii) a r /_\(D C B) = a r /_\(A C B) (iii) D A || CB

In Fig. 9.25, diagonals AC and BD of quadrilateral ABCD intersect at O such that O B" "=" "O D . If A B" "=" "C D , then show that: (i) a r" "(D O C)" "=" "a r" "(A O B) (ii) a r" "(D C B)" "=" "a r" "(A C B) (iii) D A" "||" "C

If bisectors of angle A and angle B of a quadrilateral ABCD intersect each other at P, of angle B and angle C " at " Q, " of " angle C and angle D " at R and of " angle D and angle A at S then PQRS is a