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Let from a point \( A(h, k), 3 \) distinct normals can be drawn to parabola \( y^{2}=4 a x \)
P and the feet of these normals on parabola be points \( P\left(a t_{1}^{2}, 2 a t_{1}\right), Q\left(a t_{2}^{2}, 2 a t_{2}\right) \)

W and \( R\left(a t_{3}^{2}, 2 a t_{3}\right) \)
Let the point \( A \) varies such that the points \( P \) and \( Q \) are the ends of a focal chord then locus of point \( A \) is :
(a) \( y^{2}=a(x-2 a) \)
(b) \( y^{2}=a(x-a) \)
(c) \( y^{2}=a(x-3 a) \)
(d) \( y^{2}=3 a(x-a) \)
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