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Mathematics
Problem
Which one of the following conditions guarantees that the equation
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
x^2 + y^2 + 2gx + 2fy + c = 0
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
represents a real circle? a)
g
2
+
f
2
−
c
=
0
g^2 + f^2 - c = 0
g
2
+
f
2
−
c
=
0
b)
g
2
+
f
2
+
c
=
0
g^2 + f^2 + c = 0
g
2
+
f
2
+
c
=
0
c)
g
2
+
f
2
−
c
>
0
g^2 + f^2 - c > 0
g
2
+
f
2
−
c
>
0
d)
g
2
+
f
2
−
c
<
0
g^2 + f^2 - c < 0
g
2
+
f
2
−
c
<
0
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