The tangent \( P T \) and the normal \( P N \) to the parabola
\( y^{2}=4 a x \) at a point \( P.... VIDEO
The tangent \( P T \) and the normal \( P N \) to the parabola
\( \mathrm{P} \)
\( y^{2}=4 a x \) at a point \( P \) on it meet its axis at points \( T \) and
W
\( N \), respectively. The locus of the centroid of the \( \triangle \) PTN is a parabola whose-
(1) vertex is \( \left(\frac{2 a}{3}, 0\right) \)
(2) directrix is \( x=0 \)
(3) latus rectum is \( \frac{2 a}{3} \)
(4) focus is \( (a, 0) \)
.
(4) (1) (8) (9)
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