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# 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 x^{2}/a^{2} + y^{2}/b^{2} = 1

where a is the semi-major axis

Then,

a = 3 and b = 2

Thus,

the equation of the ellipse is x^{2}/3^{2} + y^{2}/2^{2} = 1 or x^{2}/9 + y^{2}/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 x^{2}/9 + y^{2}/4 = 1

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