Question

Find the equation of ellipse whose ends of major axis(±3, 0), end s of minor axis(±1, 0)​

Answer 1

Answer:

It is given that, ends of major axis (±3,0) and ends of minor axis (0,±2)

Clearly, here the major axis is along the x-axis.

Therefore, the equation of the ellipse will be of the form

a

2

x

2

+

b

2

y

2

=1, where a is the semi-major axis.

Accordingly a=3 and b=2

Thus, the equation of the ellipse is

3

2

x

2

+

2

2

y

2

=1i.e.,

9

x

2

+

4

y

2

=1