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Byju's Answer
Standard VIII
Mathematics
Obtaining centre and radius of a circle from general equation of a circle
The equation ...
Question
The equation
x
2
+
y
2
=
0
denotes
A
A point
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B
A circle
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C
x-axis
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D
y-axis
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Solution
The correct option is
A
A point
The equation
x
2
+
y
2
=
0
denotes that
radius of circle is zero and centre is origin.
Suggest Corrections
0
Similar questions
Q.
The equation
x
2
+
y
2
=
0
denotes
Q.
Circle
x
2
+
y
2
+
6
y
=
0
touches
Q.
Assertion :The equation of the circle passing through the point
(
2
a
,
0
)
and whose radical axis is
x
=
a
2
with respect to the circle
x
2
+
y
2
=
a
2
, will be
x
2
+
y
2
−
2
a
x
=
0
Reason: The equation of radical axis of two circles
x
2
+
y
2
+
2
g
1
x
+
2
f
1
y
+
c
1
=
0
and
x
2
+
y
2
+
2
g
2
x
+
2
f
2
y
+
c
2
=
0
is
2
(
g
1
−
g
2
)
x
+
2
(
f
1
−
f
2
)
y
+
(
c
1
−
c
2
)
=
0
Q.
The equation of a circle whose radius is
8
units and which touches both
x
−
axis and
y
−
axis is
Q.
Find the equation of the circle passing through point of intersection of the circle
x
2
+
y
2
−
8
x
−
2
y
+
7
=
0
and
x
2
+
y
2
−
4
x
+
10
y
+
8
=
0
and its center lie on y-axis.
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