Question

Consider the equation of parabola y²+4ax=0 where a>0. Which of the following is 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)

Hint:

Tangent at vertex of a parabola is perpendicular to its axis.

Answer 1

The Correct Option is A

Step 1: Standard form: y²=-4ax
Step 2: Vertex is at origin and axis is along negative x-axis.
Step 3: Tangent at vertex is perpendicular to axis: x=0