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Question

Equation of the parabola having focus at (0,3) and its directrix is y=3 is?

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Solution


x2=12y
Given the focus of the parabola is (0,3)and directrix is y=3
It is clear that the parabola is open downwards.
Hence its equation is of the form x2=4ay
Since a=3
The required equation is x2=4×3y=12y

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