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let a b c be such that b a c 0 if aa 1a 1 bb 1b 1c
Question:
Let a, b, c be such that b
(
a
+
c
)
≠
0
.
If
|
a
a
+
1
a
−
1
−
b
b
+
1
b
−
1
c
c
−
1
c
+
1
|
+
|
a
+
1
b
+
1
c
−
1
a
−
1
b
−
1
c
+
1
(
−
1
)
n
+
2
a
(
−
1
)
n
+
1
b
(
−
1
)
n
c
|
=
0
Then the value of
n
is?
JEE Main
Updated On:
Aug 20, 2024
(A) Zero
(B) Any even integer
(C) Any odd integer
(D) Any integer
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Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
Explanation:
|
a
a
+
1
a
−
1
−
b
b
+
1
b
−
1
c
c
−
1
c
+
1
|
+
|
(
−
1
)
n
+
2
a
a
+
1
a
−
1
(
−
1
)
n
+
1
b
b
+
1
b
−
1
(
−
1
)
n
c
c
−
1
c
+
1
|
=
|
a
+
(
−
1
)
n
+
2
a
a
+
1
a
−
1
−
b
+
(
−
1
)
n
+
1
b
b
+
1
b
−
1
c
+
(
−
1
)
n
c
c
−
1
c
+
1
|
=
0
if
n
is an odd integer.Hence, the correct option is (C).
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