ParabolaHard
Question
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 centroid of the triangle PTN is a parabola whose
Options
A.vertex is 
B.directrix is x = 0
C.latus rectum is 
D.focus is (a, 0)
Solution
G ≡ (h, k)
⇒ h =
, k = 
⇒
⇒ required parabola is
⇒ y2 =
Vertex ≡
; Focus ≡ (a, 0)Create a free account to view solution
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