Let \( P \) be the point \( (-3,0) \) and \( Q \) be a moving point \( (0,3 t) \). Let \( P Q \)...

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Let \( P \) be the point \( (-3,0) \) and \( Q \) be a moving point \( (0,3 t) \). Let \( P Q \) be trisected at \( R \) so that \( R \) is nearer to \( Q \). \( R N \) is drawn perpendicular to \( P Q \) meeting the \( x \)-axis at \( N \). The locus of the mid-point of \( R N \) is
(A) \( (x+3)^{2}-3 y=0 \)
(B) \( x^{2}-y=1 \)
(C) \( (y+3)^{2}-3 x=0 \)
(D) \( y^{2}-x=1 \)
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