Orthogonal trajectories of family of the curve \[{{x}^{2/3}}+{{y}^{2/3}}={{a}^{2/3}}\], where a is any arbitrary constant, is

Orthogonal trajectories of family of the curve \[{{x}^{2/3}}+{{y}^{2/3

1.	Orthogonal trajectories of family of the curve \[{{x}^{2/3}}+{{y}^{2/3}}={{a}^{2/3}}\], where a is any arbitrary constant, is
A.	\[{{x}^{2/3}}-{{y}^{2/3}}=c\]
B.	\[{{x}^{4/3}}-{{y}^{4/3}}=c\]
C.	\[{{x}^{4/3}}+{{y}^{4/3}}=c\]
D.	\[{{x}^{1/3}}-{{y}^{1/3}}=c\]
Answer» C. \[{{x}^{4/3}}+{{y}^{4/3}}=c\]

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Orthogonal trajectories of family of the curve \[{{x}^{2/3}}+{{y}^{2/3}}={{a}^{2/3}}\], where a is any arbitrary constant, is

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