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Offline Centres

Q.

The tangent PT and the normal PN to the parabola y2=4ax at a point P on it meet its axis at points T and N, respectively. The locus of the Centriod of the triangle PTN is a parabola whose

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a

vertex is  (2a3,0)

b

directrix is x = 0

c

latus rectum is  2a3

d

focus is (a, 0)

answer is A, D.

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Detailed Solution

3h=2a+at2 3k=2at 3h=2a+a.9k24a2 y2=4a9(3x−2a) y2=4a3(x−2a3)

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