If V and S are respectively the vertex and focus of the parabola y 2 + 6y + 2x + 5 = 0, then SV =

Question

Philoid · Accepted Answer

Given equation of the parabola is y² + 6y + 2x + 5 = 0

⇒ y² + 6y + 5 = - 2x

⇒ y² + 6y + 9 = - 2x + 4

⇒ (y + 3)² = - 2(x - 2)

Comparing with standard form of parabola (y - a)² = - 4b(x - c) we get,

⇒ 4b = 2

⇒

We know that the distance between the vertex and the focus is b.

∴The distance between the vertex and the focus is .

∴The correct option is B