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The area of the figure bounded by a curve, the \( x \)-axis, and two ordinates, one of which is constant, the other variable, is equal to ratio of the cube of the variable ordinate to the variable abscissa. The curve
- passing through \( (1,1) \) is given by
(a) \( \left(2 y^{2}-x^{2}\right)^{2}=x^{2} \)
(b) \( \left(2 y^{2}-x^{2}\right)^{3}=x^{2} \)
(c) \( \left(y^{2}-x^{2}\right)^{3}=8 x^{2} \)
(d) \( \left(2 y-x^{2}\right)^{3}=x^{2} \)
\( \mathrm{P} \)
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