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The locus of the midpoint of the line se...

The locus of the midpoint of the line segment joining the focus to a moving point on the parabola `y^2=4a x` is another parabola whose (a)Directrix is y-axis (b) Length of latus rectum is `2a` (c)focus is `(a/2,0)` (d) Vertex is `(a ,0)`

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