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Question

If the area of the region bounded by the curves, y=x2, y=1x and the lines y=0 and x=t,(t>1) is 1 sq. unit, then t is equal to :

A
e23
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B
e32
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C
32
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D
43
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Solution

The correct option is A e23
Area=10x2dx+t11xdx
Area=(x33)10+(lnx)t1
1=(1303)+(lnt0)
113=lnt
23=lnt
t=e23



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