JEE Advanced Mathematics question
The tangent and the normal to the parabola at a point on it meet its axis at points and respectively. The locus of the centroid of the is a parabola whose
Answer: (A),(D)
Solution
. Tangent: ⇒ . Normal: ⇒ . Centroid:
x = = , y = .
Eliminate : , i.e.
= (x -
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