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Question

Area bounded by curve y39y+x=0 and yaxis is

A
92
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B
9
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C
812
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D
81
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Solution

The correct option is A 92
Given curve y39y+x=0,y-axis i.e., x=0
x=9yy3(i)x=0(ii)
Solving (i) and (ii) we get point of intersection
9yy3=0y[9y2]=0y=0ory2=9y=±3
Area bounded is given by
A=30(9yy3)dy=9y22y4430=(9(3)22(3)44)0=812814=81×2814
=814sq units.

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