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The curve $a^{2}y^{2}=x^{2}(a^{2}-x^{2})$ has

\[\](1)only one loop between$ x=0$ and $x=a$\[\](2)two loops between $x=0$ and $x=a$\[\](3)two loops between $x=-a$ and $x=a$\[\](4)no loop

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The curve $a^2y^2=x^2(a^2-x^2)$ has one loop between -a ad 0.
The curve has two loops between -a and a
Hence 3 is the correct answer.
answered May 20, 2014 by meena.p

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