The equation to the orthogonal trajectories of the system of parabolas \( y=a x^{2} \) is....

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The equation to the orthogonal trajectories of the
\( \mathrm{P} \)
system of parabolas \( y=a x^{2} \) is
W
(1) \( \frac{x^{2}}{2}+y^{2}=C \)
(2) \( x^{2}+\frac{y^{2}}{2}=C \)
(3) \( \frac{x^{2}}{2}-y^{2}=C \)
(4) \( x^{2}-\frac{y^{2}}{2}=C \)


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