Questions

The locus of middle points of normal chords of the parabola $y^{2} = 4 ax$ is

Moderate

A

$\frac{y^{2}}{2 a} + \frac{4 a^{3}}{y^{2}} = x - 2 a$

B

$\frac{y^{2}}{2 a} - \frac{4 a^{2}}{y^{2}} = x - 2 a$

C

$\frac{y^{2}}{2 a} + \frac{4 a^{2}}{y^{2}} = x + 2 a$

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