1.

The locus of the midpoint of the line segment joining the focus to a moving point on the parabola \[{{y}^{2}}=4ax\] is another parabola with the directrix                                                                                   [IIT Screening 2002]

A.            \[x=-a\]                                     
B.            \[x=-\frac{a}{2}\]
C.            \[x=0\]                                      
D.            \[x=\frac{a}{2}\]
Answer» D.            \[x=\frac{a}{2}\]


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