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Question

The area of the region described by A={(x,y):x2+y21 and y21x} is :

A
π2+43
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B
π243
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C
π223
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D
π2+23
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Solution

The correct option is A π2+43
Required area =P+Q

Now, area of the region P=12×π×(1)2=π2
Now, area of the region Q=∣ ∣2101x dx∣ ∣
=∣ ∣ ∣2(1x)3/232(1)∣ ∣ ∣10
=43
=43
Hence, Required area =π2+43

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