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JEE Main 27-Jan-2024 Shift 1 Solved Paper
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Section:
Mathematics
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© examsnet.com
Question : 5
Total: 90
If A denotes the sum of all the coefficients in the expansion of
(
1
−
3
x
+
10
x
2
)
n
and
B
denotes the sum of all the coefficients in the expansion of
(
1
+
x
2
)
n
, then :
[27-Jan-2024 Shift 1]
A
=
B
3
3
A
=
B
B
=
A
3
A
=
3
B
Validate
Solution:
👈: Video Solution
Sum of coefficients in the expansion of
(
1
−
3
x
+
10
x
2
)
n
=
A
then
A
=
(
1
−
3
+
10
)
n
=
8
n
(
put
x
=
1
)
and sum of coefficients in the expansion of
(
1
+
x
2
)
n
=
B
then
B
=
(
1
+
1
)
n
=
2
n
© examsnet.com
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