Question

Focus and directrix of the parabola x² = -8ay are

Options

• (0, - 2a) and y = 2a

• (0, 2a) and y = - 2a

• (2a, 0) and x = - 2a

• (- 2a, 0) and x = 2a

Answer 1

(0, - 2a) and y = 2a

Explanation:

Given, equation is x² = - 8ay

Here, A = 2a

Focus of parabola (0, - A) i.e., (0, - 2a)

Directrix y = A i.e., y = 2a