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Question: Chord of contact of two perpendicular tangents of parabola 3y<sup>2</sup> = 8x always passes a fixed...

Chord of contact of two perpendicular tangents of parabola 3y2 = 8x always passes a fixed point which is :

A

(1, 1)

B

(0, 0)

C

(23,0)\left( \frac{2}{3},0 \right)

D

(43,0)\left( \frac{4}{3},0 \right)

Answer

(23,0)\left( \frac{2}{3},0 \right)

Explanation

Solution

Fixed point must be focus

i.e. (23,6mu0)\left( \frac{2}{3},\mspace{6mu} 0 \right)