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FInd the area bounded by the curves y^2=...

FInd the area bounded by the curves `y^2=9xandx^2=9y.`

A

36

B

18

C

27

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
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(a) Draw the rough sketch and find the area of the region included between the parabolas : (i) y ^(2) = 4x and x ^(2) = 4y (ii) y ^(2) = 9x and x ^(2) - 9y (iii) y ^(2) = 16x and x ^(2) = 16y. (b) Find the ratio in which the area bounded by the curves y ^(2) = 12x and x ^(2) = 12y is divided by the line x =3.