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The locus of the mid point of the focal radii of a variable point moving on the parabola,
y2 = 4ax is a parabola whose
(a) Latus rectum is half the latus rectum of the original parabola
(b) Vertex is (a/2, 0)
(c) Directrix is y-axis
(d) Focus has the co-ordinates (a, 0)
Focus is x – a/2 = a/2 i.e. x = a
i.e. (a, 0)
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