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Question
Find the sum of areas of POQ and ORS
Find The Sum Of Areas Of POQ And ORS
Options:
A .  pq2
B .  p2q22
C .  p2+q22
D .  p2+q28
Answer: Option A
:
A
Since the only condition we need to maintain is that the diagonals need to intersect at right angles, assume the simplest quadrilateral which satisfies this condition- a square. Now the question can be solved by simple graphical division.
Take the side of the square =p=q=2. Area = 4.
Find The Sum Of Areas Of POQ And ORS
We need the area of the shaded region, which is half of that of the square= 2. Look in the answer options for 2 on substituting p=2 and q=2. Answer is option (a)

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