IIT JEE 2009 P2 Q27

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The tangent PT and 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 centroid of the traingle PTN is a parabola whose

A) Vertex is (2a/3,0)
B) Directrix is x=0
C) Latus rectum is 2a/3
D) focus is (a,0)

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6 Answers

chinmay ·2009-04-12 07:50:27

a,d

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Subash ·2009-04-12 07:50:58

i agree wid chinmay

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maddybaddie ·2009-04-12 08:00:37

me 2...

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rkrish ·2009-04-12 08:04:13

yup dats rite..........

vertex : (2a/3 , 0)
directrix : x = a/3
latus rectum = 4a/3
focus : (a , 0)

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kamalendu ghosh ·2009-04-12 08:06:58

me 3!!

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Dharun ·2009-04-12 08:13:24

me too

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IIT JEE 2009 P2 Q27

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