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Question

The area (in sq. units) of the region {(x,y):x0,x+y3,x24y and y1+x}
is:

A
5912
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B
32
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C
73
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D
52
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Solution

The correct option is D 52

We can devide the whole section in two parts
A1= Area from 0 to 1
A2= Area from 1 to 2

Required area=A1+A2
A1=10(1+x)dx10(x24)dxA2=21(3x)dx21(x24)dxA1+A2=52 sq.units

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