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AIEEE 2004 Math Solved Paper
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© examsnet.com
Question : 12
Total: 68
The coefficient of the middle term in the binomial expansion in powers of
x
of
(
1
+
α
x
)
4
and
(
1
−
α
x
)
6
is the same if
α
equals
3
5
10
3
−
3
10
−
5
3
Validate
Solution:
For
(
1
+
α
x
)
4
the middle term
T
4
2
+
1
=
4
C
2
⋅
α
2
x
2
∴
Coefficient of middle term
=
4
C
2
⋅
α
2
For
(
1
−
α
x
)
6
the middle term
T
6
2
+
1
=
6
C
3
.
−
α
3
x
3
∴
Coefficient of middle term
=
6
C
3
⋅
−
α
3
∴
According to question,
4
C
2
⋅
α
2
=
6
C
3
⋅
−
α
3
⇒
6
=
20
×
−
α
⇒
α
=
−
3
10
© examsnet.com
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