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The tangent PT and the normal PN to the parabola `y^2=4ax` at a point P on it meet its axis at points T and N respectively. The locus of the centroid of the triangle PTN is a parabola whose :

A

vertex is `((2a)/3,0)`

B

directrix is x = 0

C

latus rectum is y

D

focus is (a, 0).

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