Conic Sections Question 446

Question: The equation of the lines joining the vertex of the parabola $ y^{2}=6x $ to the points on it whose abscissa is 24, is

Options:

A) $ y\pm 2x=0 $

B) $ 2y\pm x=0 $

C) $ x\pm 2y=0 $

D) $ 2x\pm y=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

$ y^{2}=6.24 $

therefore $ y=\pm 12 $

Therefore, the points are $ (24,12),(24,-12) $

Hence lines are $ y=\pm \frac{12}{24}x\Rightarrow 2y=\pm x $ .