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Mathematics
Mathematics
Problem
If one of the circles
x
2
+
y
2
+
2
a
x
+
c
=
0
x^2 + y^2 + 2ax + c = 0
x
2
+
y
2
+
2
a
x
+
c
=
0
and
x
2
+
y
2
+
2
b
x
+
c
=
0
x^2 + y^2 + 2bx + c = 0
x
2
+
y
2
+
2
b
x
+
c
=
0
lies within the other, then a.
a
b
>
0
,
c
>
0
ab > 0, c > 0
ab
>
0
,
c
>
0
b.
a
b
>
0
,
c
<
0
ab > 0, c < 0
ab
>
0
,
c
<
0
c.
a
b
<
0
,
c
>
0
ab < 0, c > 0
ab
<
0
,
c
>
0
d.
a
b
<
0
,
c
<
0
ab < 0, c < 0
ab
<
0
,
c
<
0
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