Question

find the equation of ellipse ,foci is (3,1),(-5,1) and vertex are (4,1),(-6,1)​

Answer 1

Step-by-step explanation:

Given, (−4,1) and (6,1) are vertices of an ellipse.

⇒ Major axis of ellipse is y=1

Centre of ellipse is (1,1)

Foci are x=2+2y=2+2=4

∴ Focus is (4,1)

∵ Focus lies on major axis.

∴ae= Distance b/w focus and centre =3

a=

2

10

=5

⇒e=

5

3