Consider curves y=(1)/(x^(2)),y=(1)/(4(x...

Consider curves `y=(1)/(x^(2)),y=(1)/(4(x-1))." Let "alpha` be the value of `a (a gt 2)` for which area bounded by curves between `x=2 and x=a" is "1//a" is "e^(2)+1 and beta" be the of "b in (1,2),` for which the area bounded by curves between x=b and `x=2" is "1-(1)/(b),` then

A

1

B

2

C

`2 sqrt(2)`

D

4

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The correct Answer is:

B

The region is clearly square with vertices at the points (1,0),(0,1),(-1,0) and (0,-1).

`therefore " Area of square " =sqrt(2) xx sqrt(2)=2` sq units

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