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VITEEE 2012 Solved Paper
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© examsnet.com
Question : 95
Total: 120
The coefficient of
x
53
in the following expansions
100
Σ
m
=
0
100
C
m
(
x
−
3
)
100
−
m
.
2
m
is
100
C
47
100
C
53
-
100
C
53
-
100
C
100
Validate
Solution:
100
Σ
m
=
0
100
C
m
(
x
−
3
)
100
−
m
.
2
m
Above expansion can be rewritten as
]
[
(
x
−
3
)
+
2
]
100
=
(
x
−
1
)
100
=
(
1
−
x
)
100
∴
x
53
will occur in
T
54
⇒
T
54
=
10
C
53
(
−
x
)
53
∴ Required coefficient is -
100
C
53
© examsnet.com
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