If a point \[(x,\ y)\equiv (\tan \theta +\sin \theta ,\ \tan \theta -\sin \theta )\], then locus of (x, y) is [EAMCET 2002]

\[{{({{x}^{2}}y)}^{2/3}}+{{(x{{y}^{2}})}^{2/3}}=1\]

\[{{({{x}^{2}}-{{y}^{2}})}^{2}}=16xy\]

If a point \[(x,\ y)\equiv (\tan \theta +\sin \theta ,\ \tan \theta -\

1.	If a point \[(x,\ y)\equiv (\tan \theta +\sin \theta ,\ \tan \theta -\sin \theta )\], then locus of (x, y) is [EAMCET 2002]
A.	\[{{({{x}^{2}}y)}^{2/3}}+{{(x{{y}^{2}})}^{2/3}}=1\]
B.	\[{{x}^{2}}-{{y}^{2}}=4xy\]
C.	\[{{({{x}^{2}}-{{y}^{2}})}^{2}}=16xy\]
D.	\[{{x}^{2}}-{{y}^{2}}=6xy\]
Answer» D. \[{{x}^{2}}-{{y}^{2}}=6xy\]

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If a point \[(x,\ y)\equiv (\tan \theta +\sin \theta ,\ \tan \theta -\sin \theta )\], then locus of (x, y) is [EAMCET 2002]

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