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

Solution:

Focus (0, - 3);

Directrix y = 3

Since the focus lies on the y - axis, the y - axis is the axis of the parabola.

Therefore,

the equation of the parabola is either of the form x² = 4ay or x² = - 4ay .

It is also seen that the directrix, the x-axis.

y = 3 is above the x-axis while the focus (0, - 3) is below the x-axis.

Hence, the parabola is of the form x² = - 4ay.

Here, a = 3

Thus, the equation of the parabola is x² = - 12 y

NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.2 Question 8

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

Summary:

The equation of the parabola is x² = - 12 y while the focus (0, - 3) and directrix is y = 3