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# The curve $9y^{2}=x^{2}(4-x^{2})$ is symmetrical about

$\begin{array}{1 1}(1)y-axis&(2)x-axis\\(3)y=x&(4)both \;the\; axes\end{array}$

$9y^2=x^2(4-x^2)$
Replacing x by -x the equation is unaltered.
The curve is symmetrical about y axis
Replacing by -y the equation is unaltered.
The curve is symmetrical about x axis
The curve is both symmetrical about the axis
Hence 4 is the correct answer.