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

Asked by Pragya Singh | 11 months ago |  104

1 Answer

Solution :-

Focus (0, -3) and directrix y = 3

We know that the focus lies on the y–axis, the y-axis is the axis of the parabola.

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

It is also seen that the directrix, 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

The equation of the parabola is x2 = -12y.

Answered by Abhisek | 11 months ago

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