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Byju's Answer
Standard XII
Mathematics
Major Axis of Ellipse
-4,1, 6,1 are...
Question
(
−
4
,
1
)
,
(
6
,
1
)
are the vertices of an ellipse and one of the foci lies on
x
−
2
y
=
2
then the eccentricity is
A
3
5
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B
4
5
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C
2
5
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D
1
5
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Solution
The correct option is
A
3
5
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
+
2
y
=
2
+
2
=
4
∴
Focus is
(
4
,
1
)
∵
Focus lies on major axis.
∴
a
e
=
Distance b/w focus and centre
=
3
a
=
10
2
=
5
⇒
e
=
3
5
Hence, option A.
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