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Find the equation of the parabola with v...

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 5).

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Verified by Experts

Since, the vertex of the parabola is (0, 0) and the focus is (0, 5) which lies on y-axis itself is the axis of the parabola.
Since the focus lies on the positive side of y-axis therefore, the required equation is of the form `x^(2) = 4ay`
Here, a = 5
`therefore x^(2) = 20y` is the required equation.
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