The locus of the midpoint of the focal distance of a variable point moving on theparabola `y^2=4a x` 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 coordinates (a, 0)

Options

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)

Answer

D