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The parametric equations of the curve $x^{2/3}+y^{2/3}=a^{2/3}$ are

\[\begin{array}{1 1}(1)x=a \sin^{3}\theta:y=a\cos^{3}\theta&(2)x=a\cos^{3}\theta:y=a\sin^{3}\theta\\(3)x=a^{3}\sin\theta:y=a^{3}\cos\theta&(4)x=a^{3}\cos\theta:y=a^{3}\sin\theta\end{array}\]

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The parametric equations are
$x= a \cos ^3\theta, y=a \sin ^3 \theta$
Hence 2 is the correct answer.
answered May 19, 2014 by meena.p

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