Question

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

पर्याय

• The vertex of the parabola is at the origin.

• The focus of the parabola is at (a, 0).

• Directrix of the parabola is x = a.

• Tangent at the vertex is x = 0.

Answer 1

The focus of the parabola is at (a, 0).

Explanation:

Parabola is y² = −4ax (left-handed parabola).

∴ Its focus is (−a, 0).