Axis of a parabola lies along the x-axis.

Question

Axis of a parabola lies along the $x$-axis. If its vertex and focus are at distances $2$ and $4$ respectively from the origin, on the positive $x$-axis, then which of the following points does not lie on it?

Accepted Answer

So the equation of the parabola,

$${\left( {y - 0} \right)^2} = 4.a\left( {x - 2} \right)$$

$$ \Rightarrow $$  y2 = 4.2 (x - 2)

$$ \Rightarrow $$  y2 = 8 (x - 2)

By checking each options you can see. point (8, 6) does not lie on the parabola.

Solutions · 1