Q.

The equation of the parabola having focus at 0,-3 and directrix y=3

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a

y2=24x

b

y2=12x

c

y2=-24x

d

x2=-12y

answer is D.

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Detailed Solution

Focus 0,-3 and directrix y=3Since, the focus lies on the y-axis, it is the axis of parabolaAlso, the directrix y=3 in the above the x-  axis, while the focus 0,-3i  is below x-  axishence, the parabola is of the form x2=4ay  Here a = 3  Therefore, the equation of the required parabola is x2=12y
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