Solveeit Logo

Question

Question: If the vertex of a parabola is the point (–3, 0) and the directrix is the line x + 5 = 0, then its e...

If the vertex of a parabola is the point (–3, 0) and the directrix is the line x + 5 = 0, then its equation is-

A

y2 = 8(x + 3)

B

x2 = 8(y + 3)

C

y2 = –8 (x + 3)

D

y2 = 8(x + 5)

Answer

y2 = 8(x + 3)

Explanation

Solution

Let P(x, y) is any point on the required parabola

̃ PS = PM

\ (x + 1)2 + y2 = (x + 5)2

̃ y2 = 8 (x + 3)