Find the equation of the parabola that satisfies the given conditons:
Focus (0,-3); Directrix y = 3

Open in App

Solution

Since the focus (0, -3) lies on the y - axis, therefore y - axis is the axis of parabola.
Also the directrix is y = 3 i.e. y = a and focus (0,-3) i.e. (0,-a). So the parabola is of the form $x^{2} = - 4 a y .$
The required equation of parabola is
$x^{2} = - 4 \times 3 y \Rightarrow x^{2} = - 12 y .$

Suggest Corrections

Similar questions

Find the equation of the parabola that satisfies the given conditons:
Focus (6,0); directrix x = -6

Find the equation of the parabola that satisfies the following conditions: Focus (0, –3); directrix y = 3

(6, 0)

x = - 6

(0, 0)

(3, 0)

(0, - 3)

y = 3

Join BYJU'S Learning Program