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Byju's Answer
Standard XII
Mathematics
Position of a Line W.R.T Ellipse
For the ellip...
Question
For the ellipse
x
2
4
+
y
2
1
=
1
and circle
(
x
−
1
)
2
+
(
y
+
2
)
2
=
3
,
the centre of the circle lies
A
inside the ellipse
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B
outside the ellipse
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C
on the ellipse
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D
none of these
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Solution
The correct option is
B
outside the ellipse
Centre of the circle is
(
1
,
−
2
)
we have,
S
1
=
1
4
+
4
1
−
1
>
0
⇒
The centre of the circle lies outside the ellipse
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Position of a Line W.R.T Ellipse
Standard XII Mathematics
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