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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Write an equation of an ellipse in standard form with the center at the origin and with the given vertex at (-3,0) and co-vertex at (0,2)
Solution:
An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant.
Given: Vertex = (-3, 0)
Co-vertex = (0, 2)
Where the center (h, k) = (0, 0)
a = -3, b = 2
We know that,
Standard form of the ellipse is (x - h)2/a2 + (y - k)2/b2 = 0
Substituting the values
(x - 0)2/(-3)2 + (y - 0)2/22 = 0
So we get,
x2/9 + y2/4 = 0
Therefore, the equation of an ellipse in standard form is x2/9 + y2/4 = 0.
Write an equation of an ellipse in standard form with the center at the origin and with the given vertex at (-3,0) and co-vertex at (0,2)
Summary:
The equation of an ellipse in standard form with the center at the origin and with the given vertex at (-3,0) and co-vertex at (0,2) is x2/9 + y2/4 = 0.
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