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

• A. $y\pm 2x=0$
• B. $2y\pm x=0$
• C. $x\pm 2y=0$
• D. $2x\pm y=0$

Answer 1

Answer: (B), (C)

$x\pm 2y=0$

$y^2=6.24\Rightarrow y=\pm 12$
Therefore, the point are (24, 12), (24, - 12)
Hence lines are $y=\pm \frac{12}{24}x\Rightarrow 2y=\pm x.$