Question

The equation of the directrix of the parabola 3x² = 16y is ________.

Options

• 3y - 4 = 0

• 3y + 4 = 0

• 3x + 4 = 0

• 3x - 4 = 0

Answer 1

The equation of the directrix of the parabola 3x² = 16y is 3y + 4 = 0.

Explanation:

Given parabola,

3x² = 16y

x² = `16/3`y

Here, 4a = `16/3`

a = `4/3`

Equation of directrix of parabola,

x² = 4ay is

y + a = 0

∴ Equation of directrix of parabola,

`x^2 = 16/3`y is

`y + 4/3 = 0`

3y + 4 = 0