Consider the equation of a parabola y2 + 4ax = 0, where a 0 which of the following is/are correct?

Question

Consider the equation of a parabola y2 + 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)

Tardigrade Admin · Accepted Answer

Equation of parabola is y2 = - 4ax. Its focus is at (- a, 0).

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

Tangent at the vertex is x = 0

Directrix of the parabola is x = 0

Vertex of the parabola is not at the origin

Focus of the parabola is at (a, 0)

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

Q. Consider the equation of a parabola y2+4ax=0, where a>0 which of the following is/are correct?