Question:
Find the equation of the parabola with vertex at the origin and focus F(0, 5)
Solution:
Vertex : A (0,0)
Given focus $F(0,5)$ is of the form $F(0, a)$
For Vertex $A(0,0)$ and Focus $F(0, a)$, equation of parabola is
$x^{2}=4 a y$
Here, a = 5
Therefore, equation of parabola,
$x^{2}=20 y$
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