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Question

The area (in sq. units) bounded by the curve y=x,2yx+3=0,x-axis, and lying in first quadrant is :

A
9
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B
36
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C
18
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D
274
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Solution

The correct option is A 9
2yx+3=0...(1)
y=xy2=x put in equation (1)
2yy2+3=0
(y+1)(y3)=0
y=1, y=3
x=y2=9
Let's draw the graph

Area of shaded region =90xdx area of ABC
=23[x3/2]9012×3×6
=9 sq. units

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