The tangent PT and the..... | JEE Advanced 2009 | Coordinate

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The tangent PT and the normal PN to the parabola $y^2=4 a x$ 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

Select ALL correct options:

A

vertex is $\left(\frac{2 \mathrm{a}}{3}, 0\right)$

B

directrix is $\mathrm{x}=0$

C

latus rectum is $\frac{2 a}{3}$

D

focus is (a, 0)

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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