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

Asked by Pragya Singh | 1 year ago |  124

##### Solution :-

Focus (6,0) and directrix x = -6

We know that the focus lies on the x–axis is the axis of the parabola.

So, 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

The equation of the parabola is y2 = 24x.

Answered by Abhisek | 1 year ago

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