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