Through the vertex O at a parabola \[{{y}^{2}}=4x,\] chords OP and OQ are drawn at right angles to one another. The locus of the middle point of PQ is

Through the vertex O at a parabola \[{{y}^{2}}=4x,\] chords OP and OQ

1.	Through the vertex O at a parabola \[{{y}^{2}}=4x,\] chords OP and OQ are drawn at right angles to one another. The locus of the middle point of PQ is
A.	\[{{y}^{2}}=2x+8\]
B.	\[{{y}^{2}}=x+8\]
C.	\[{{y}^{2}}=2x-8\]
D.	\[{{y}^{2}}=x-8\]
Answer» D. \[{{y}^{2}}=x-8\]

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Through the vertex O at a parabola \[{{y}^{2}}=4x,\] chords OP and OQ are drawn at right angles to one another. The locus of the middle point of PQ is

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