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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).

Text Solution

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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