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Mathematics
Problem
If
a
−
1
+
b
−
1
+
c
−
1
=
0
a^{-1}+b^{-1}+c^{-1}=0
a
−
1
+
b
−
1
+
c
−
1
=
0
such that
∣
1
+
a
1
1
1
1
+
b
1
1
1
1
+
c
∣
=
λ
\begin{vmatrix} 1+a & 1 & 1 \\ 1 & 1+b & 1 \\ 1 & 1 & 1+c \end{vmatrix} = \lambda
1
+
a
1
1
1
1
+
b
1
1
1
1
+
c
=
λ
then the value of
λ
\lambda
λ
is (a) 0 (b)
a
b
c
abc
ab
c
(c)
−
a
b
c
-abc
−
ab
c
(d) None of these (a) 0 (b)
a
b
c
abc
ab
c
(c)
−
a
b
c
-abc
−
ab
c
(d) None of these
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