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Test Index
KVPY SX SB Exam 2012 Question Paper
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© examsnet.com
Question : 82 of 120
Marks:
+1
,
-0
The coefficient of
x
2012
in
1
+
x
(
1
+
x
2
)
(
1
−
x
)
is
2010
2011
2012
2013
None of the above
Validate
Solution:
Coeff. of
x
2012
(
1
+
x
)
2
(
1
+
x
2
)
(
1
−
x
2
)
=
(
1
+
x
)
2
(
1
−
x
4
)
−
1
=
(
1
+
2
x
+
x
2
)
(
1
−
x
4
)
−
1
Coeff. of
x
2012
+ 2Coeff of
x
2011
+ Coeff of
x
2010
in the expansion of
(
1
−
x
4
)
–
1
x
2011
and
x
2010
not possible in
(
1
−
x
4
)
–
1
= only coeff. of
x
2012
in the expassion of
(
1
−
x
4
)
–
1
1
+
503
−
1
C
503
=
1
© examsnet.com
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