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]

The locus of the midpoint of the line segment joining the focus to a m

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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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]

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