Which of the following does not represent the orthogonal trajectory of the system of curves \[{{\left( \frac{dy}{dx} \right)}^{2}}=\frac{a}{x}\]

\[y+c=\frac{-2}{3\sqrt{a}}{{x}^{3/2}}\]

\[y+c=\frac{2}{3\sqrt{a}}{{x}^{3/2}}\]

All are orthogonal trajectories

Which of the following does not represent the orthogonal trajectory of

1.	Which of the following does not represent the orthogonal trajectory of the system of curves \[{{\left( \frac{dy}{dx} \right)}^{2}}=\frac{a}{x}\]
A.	\[9a{{(y+c)}^{2}}=4{{x}^{3}}\]
B.	\[y+c=\frac{-2}{3\sqrt{a}}{{x}^{3/2}}\]
C.	\[y+c=\frac{2}{3\sqrt{a}}{{x}^{3/2}}\]
D.	All are orthogonal trajectories
Answer» E.

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Which of the following does not represent the orthogonal trajectory of the system of curves \[{{\left( \frac{dy}{dx} \right)}^{2}}=\frac{a}{x}\]

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