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The locus of the mid-point of the focal ...

The locus of the mid-point of the focal radii of avariable point moving on the parabola, `y^2= 4ax` is C, then the length of latus rectum of C, is

A

latusrectum is half the latusrectum of the original parabola

B

Vertex is `(a/2,0)`

C

directrix is Y-axis

D

focus has the coordinate (a,0)

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The correct Answer is:
D
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