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 $ .