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" Find the area bounded by two curves "y...

" Find the area bounded by two curves "y^(2)=9x" and "x^(2)=9y

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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.