The correct options are
C x+2y=0
D x−2y=0
Given, y2=6x
Vertex is (0,0)
For x=24,
y2=24×6=144
⇒y=±12
∴ Two points are possible on the parabola, (24,12) and (24,−12)
Equation of line joining the point (0,0) and (24,12) is
y−0=12−024−0(x−0)
⇒y=12x
⇒2y−x=0
Similarly, equation of line joining the point (0,0) and (24,−12) is
y−0=−12−024−0(x−0)
⇒y=−12x
⇒2y+x=0