Question

19. Find an equation of the parabola that satisfies the given conditions.

Focus F(2,0), directrix x=-2

Answer 1

Here, the focus of the parabola is (2,0) and directrix is x=−2.

So, equation of parabola will be y2=4ax

Here,a=2.So, Equation becomes,

y2=4∗2x⇒y2=8x, which is the required equation of parabola.