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Byju's Answer
Standard XII
Mathematics
Obtaining Centre and Radius of a Circle from General Equation of a Circle
The circle re...
Question
The circle represented by the equation
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
will be a point circle, if
A
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B
x-axis at the origin
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C
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D
None of these
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Solution
The correct option is
A
Using condition of point circle
R
=
√
g
2
+
f
2
−
c
=
0
⇒
g
2
+
f
2
=
c
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Q.
If the circle
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
touches x-axis, then