Consider the equation of a parabola (y^2 + 4ax = 0), where (... | Mathematics | SolveeIt | Solveeit

Today, August 23

Question

Consider the equation of a parabola $y^2 + 4ax = 0$ , where $a > 0$ which of the following is/are correct?

A

Tangent at the vertex is x = 0

B

Directrix of the parabola is x = 0

C

Vertex of the parabola is not at the origin

D

Focus of the parabola is at (a, 0)

Answer

Tangent at the vertex is x = 0

Explanation

Solution

Equation of parabola is $y^2 = - 4ax$ . Its focus is at $(- a, 0)$ .