NIMCET 2011 Question Paper with solutions

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Question : 37 of 120

Marks: +1, -0

If the area bounded by

y=x^{2}

and

y=x

is

A

sq units, then the area bounded by

y=x^{2}

and

y=1

is

$(2 A+1)$ sq units
$2 A$ sq units
$[2 A+2)$ sq units
$(A+2)$ sq units

Solution:

Since, it is given area of curve

O A O=A

Now, area of

∆ O A B= {1}/{2} × 1 × 1= {1}/{2}

∴ Area of curve

O A B O=A+ {1}/{2}

∴

Total required area = area of curve

O A B C O

=2

(area of curve

O A B O

)

=2(A+ {1}/{2})

=(2 A+1)

sq units

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