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Mathematics
Problem
Two given circles
x
2
+
y
2
+
a
x
+
b
y
+
c
=
0
x^2 + y^2 + ax + by + c = 0
x
2
+
y
2
+
a
x
+
b
y
+
c
=
0
and
x
2
+
y
2
+
d
x
+
e
y
+
f
=
0
x^2 + y^2 + dx + ey + f = 0
x
2
+
y
2
+
d
x
+
ey
+
f
=
0
will intersect each other orthogonally, only when- 1.
a
d
+
b
e
=
c
+
f
ad + be = c + f
a
d
+
b
e
=
c
+
f
2.
a
+
b
+
c
=
d
+
e
+
f
a + b + c = d + e + f
a
+
b
+
c
=
d
+
e
+
f
3.
a
d
+
b
e
=
2
c
+
2
f
ad + be = 2c + 2f
a
d
+
b
e
=
2
c
+
2
f
4.
2
a
d
+
2
b
e
=
c
+
f
2ad + 2be = c + f
2
a
d
+
2
b
e
=
c
+
f
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