From the vertex of the parabola y^2 = 4a...

From the vertex of the parabola `y^2 = 4ax`, a pair of mutually perpendicular chords are drawn and with these chords as adjacent sides, a rectangele is completed. The locus of the farther angle of the rectangle is : (A) a parabola with latus rectum `4a` (B) a parabola with directrix `x-7a=0` (C) a parabola with focus `(8a, 0)` (D) not a parabola

`y ^(2) = 2ax- 4a`

`y ^(2) - 2ax - 8a ^(2)`

`y ^(2) = 2ax-2a`

`y ^(2) = 4ax + 8a ^(2)`

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