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