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Mathematics
Problem
If the lines
a
x
+
y
+
1
=
0
,
x
+
b
y
+
1
=
0
ax + y + 1 = 0, x + by + 1 = 0
a
x
+
y
+
1
=
0
,
x
+
b
y
+
1
=
0
and
x
+
y
+
c
=
0
x + y + c = 0
x
+
y
+
c
=
0
(
a
,
b
a, b
a
,
b
and
c
c
c
being distinct and different from 1) are concurrent, the value of
a
−
1
a
+
b
−
1
b
+
c
−
1
c
\frac{a-1}{a} + \frac{b-1}{b} + \frac{c-1}{c}
a
a
−
1
+
b
b
−
1
+
c
c
−
1
is a. 0 b. 1 c. 2 d. 3
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