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Byju's Answer
Standard XII
Mathematics
Intersection
The number of...
Question
The number of intersection points of the circle
x
2
+
y
2
=
4
and the ellipse
x
2
9
+
y
2
1
=
1
is
A
Z
e
r
o
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B
2
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C
4
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D
1
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Solution
The correct option is
C
4
Given that,
x
2
+
y
2
=
4
x
2
9
+
y
2
1
=
1
Now,
Clearly from graph no. of intersection point is
4
.
Hence,
Option
C
is correct answer.
Suggest Corrections
0
Similar questions
Q.
If the points of intersections of the ellipse
x
2
16
+
y
2
b
2
=
1
and the circle
x
2
+
y
2
=
4
b
,
b
>
4
lie on the curve
y
2
=
3
x
2
,
then
b
is equal to :
Q.
The intersection angle of between the ellipse
x
2
a
2
+
y
2
b
2
=
1
and the circle
x
2
+
y
2
=
a
b
is:
Q.
Let 'E' be the ellipse
x
2
9
+
y
2
4
=
1
& 'C' be the circle
x
2
+
y
2
=
9
. Let P & Q be the points (1, 2) and (2, 1) respectively. Then :
Q.
The number of points at which the ellipse
x
2
25
+
y
2
9
=
1
and the circle
x
2
+
y
2
−
8
x
+
15
=
0
intersect is
Q.
Assertion :The angle of intersection between the ellipse
x
2
a
2
+
y
2
b
2
=
1
and the circle
x
2
+
y
2
=
a
b
is
tan
−
1
(
b
−
a
)
√
a
b
Reason: The point of intersection of the ellipse
x
2
a
2
+
y
2
b
2
=
1
and the circles
x
2
+
y
2
=
a
b
is
⎛
⎝
√
a
2
b
a
+
b
,
√
a
b
2
a
+
b
⎞
⎠
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