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for a parabola y^2=4ax,consider three points A,B,C lying on the parabola itself. If the centroid of tri.ABC is (h1,k1) and the centroid of triangle formed by point of intersection of tangents at A,B and C,has coordinates (h2,k2) then which of the following are true.? 2K1=K2 K1=k2 (k1)^2=4a/3(h1+2h2) (k1)^2=4a/3(2h1+h2)

for a parabola y^2=4ax,consider three points A,B,C lying on the parabola itself.
If the centroid of tri.ABC is (h1,k1) and the centroid of triangle formed by point of intersection of tangents at A,B and C,has coordinates (h2,k2) then which of the following are true.?
  1. 2K1=K2
  2. K1=k2
  3. (k1)^2=4a/3(h1+2h2)
  4. (k1)^2=4a/3(2h1+h2)

Grade:12th pass

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4407 Points
4 years ago
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