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JEE Main Math Class 11 Binomial Theorem Part 2 Questions
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© examsnet.com
Question : 8
Total: 115
If the term independent of
x
in the expansion of
(
√
a
x
2
+
1
2
x
3
)
10
is 105 , then
a
2
is equal to :
[8 Apr 2024 Shift 2]
4
9
6
2
Validate
Solution:
👈: Video Solution
(
√
ax
2
+
1
2
x
3
)
10
General term
=
10
C
r
(
√
ax
2
)
10
−
r
(
1
2
x
3
)
r
20
−
2
r
−
3
r
=
0
r
=
4
10
C
4
a
3
⋅
1
16
=
105
a
3
=
8
a
2
=
4
© examsnet.com
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