If the focus and vertex of a parabola arr thr points (0,2) and (0,4) respectively,then its equation is
Prathamesh kulkarni , 7 Years ago
Grade 12
Analytical Geometry> If the focus and vertex of a parabola arr...
1 Answers
Arun
Last Activity: 7 Years ago
The coordinates of the vertex is (0,4)
The coordinates of the focus is (0,2)
It is clear that the vertex and the focus lies on the positive side of the y-axis.
Hence the curve is open downwards.
The equation of the form (x-h)^2=4a(y-k)
(ie)
(x-0)^2 = -4*2*(y-4)
(x-0)^2 = -4*2*(y-4)
On simplifying we get,
x^2 = -8y +32
x^2 + 8y = 32
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