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)