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

Solution:

Focus (6, 0);

Directrix x = - 6

Since the focus lies on the x-axis, the x-axis is the axis of the parabola

Therefore,

the equation of the parabola is either of the form y² = 4ax or y² = - 4ax.

It is also seen that the directrix, x = - 6 is to the left of the y-axis while the focus (6, 0) is to the right of the y-axis

Hence, the parabola is of the form y² = 4ax.

Here, a = 6

Thus, the equation of the parabola is y² = 24x

NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.2 Question 7

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

Summary:

The equation of the parabola is y² = 24x while the focus (6, 0) is to the right of the y-axis