Editor
Locus of the middle points of all chords of the parabola $y^{2}=4ax$, which are drawn through the vertex is:
Difficulty: Easy
A: 
$x^{2}=2y$
B: 
$y^{2}=4x$
C: 
$x^{2}=4y$
D: 
$y^{2}=2x$
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