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Question

The area bounded by the curves y=x,2y+3=x and x-axis in the 1st quadrant is

A
9
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B
274
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C
36
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D
18
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Solution

The correct option is A 9
Given curves are y=x,2y+3=x
y2=2y+3y=3,1
Then, the curves intersection in the first quadrant at y=3,x=9
To find the area between the curves y=x,2y+3=x and x-axis in the 1st quadrant
The required area is given by shaded portion OABO
=90xdx93(x32)dx
=x32329012(x223x)93
=(23.27)12{(81227)(929)}
=1812(18)=9

343661_43012_ans_9936ec53ea094dada0c57deb13ea6a59.png

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