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Question

ABCD is a parallelogram and P,Q are the midpoints of DC and AB respectively. Then, area of parallelogram AQPD is equal to area of triangle ADB.


A

True

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B

False

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Solution

The correct option is A

True


Parallelogram ABCD and triangle ABD are on the same base and between same parallels .

Area(ADB) = 12 Area of parallelogram(ABCD)

As P and Q are the midpoints of DC and AB, Area of parallelogram(AQPD) = 12Area of parallelogram(ABCD)

So, Area(ADB) = Area of parallelogram(AQPD)


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