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The equation to the orthogonal trajector...

The equation to the orthogonal trajectories of the system of parabolas `y=ax^2` is

A

`(x^(2))/(2)+y^(2)=C`

B

`x^(2)-(x^(2))/(2)=C`

C

`(x^(2))/(2)-y^(2)=C`

D

`x^(2)-(y^(2))/(2)=C`

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The correct Answer is:
A
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