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A day full of math games & activities. Find one near you.
Find the equation for the ellipse that satisfies the given conditions: Vertices (± 3, 0), Foci (0, ± 2)
Solution:
Vertices (± 3, 0), Foci (0, ± 2)
Here, the vertices are on the x-axis.
Therefore,
the equation of the ellipse will be of the form x2/a2 + y2/b2 = 1
where a is the semi-major axis
Then,
a = 3 and b = 2
Thus,
the equation of the ellipse is x2/32 + y2/22 = 1 or x2/9 + y2/4 = 1
NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.3 Question 13
Find the equation for the ellipse that satisfies the given conditions: Vertices (± 3, 0), Foci (0, ± 2)
Summary:
The equation of the ellipse is x2/9 + y2/4 = 1
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