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The line with equation y=m(x+a), where m can vary but a is a constant, meets the parabola with equation y^2=4ax in two points P and
The line with equation y=m(x+a), where m can vary but a is a constant, meets the parabola with equation y^2=4ax in two points P and Q.
Find, in terms of a and m, the coordinates of the mid-point R of PQ.
As m varies show that R lies on the curve with equation y^2=2a(x+a).
-> Please show the solution in every step. Thank you.
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