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P(x , y) is a variable point on the para...

`P(x , y)` is a variable point on the parabola `y^2=4a x` and `Q(x+c ,y+c)` is another variable point, where `c` is a constant. The locus of the midpoint of `P Q` is an (a)parabola (b) ellipse (c)hyperbola (d) circle

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