\( P \) is a point on the directrix of the parabola \( y^{2}=4 a x \) and \( Q \) is the point o....

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\( P \) is a point on the directrix of the parabola \( y^{2}=4 a x \) and \( Q \) is the point of contact of a tangent drawn from
\( \mathrm{P} \)
\( P \) to the parabola. Then the midpoint of \( P Q \) lies on the curve
(1) \( y^{2}(2 x+a)=a(3 x+a) \)
(2) \( y^{2}(3 x+a)=a(2 x+a)^{2} \)
(3) \( y^{2}(2 x+a)=a(3 x+2 a)^{2} \)
(4) \( y^{2}(2 x+a)=a(3 x+a)^{2} \)


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