If tangent at \( P \) and \( Q \) to the parabola \( y^{2}=4 a x \) intersect at \( R \) then pr...

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If tangent at \( P \) and \( Q \) to the parabola \( y^{2}=4 a x \) intersect at \( R \) then prove that mid point of \( R \) and \( M \) lies on the parabola, where \( M \) is the mid point of \( P \) and \( Q \).
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