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JEE Mains 15-Apr-2023 Shift 1 Solved Paper
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© examsnet.com
Question : 9
Total: 90
Let
(
a
+
bx
+
cx
2
)
10
=
20
∑
i
=
0
p
i
x
i
,
a
,
b
,
c
∈
N
. If
p
1
=
20
and
p
2
=
210
, then
2
(
a
+
b
+
c
)
is equal to
[15-Apr-2023 shift 1]
8
12
6
15
Validate
Solution:
(
a
+
bx
+
cx
2
)
10
=
20
∑
i
=
0
p
i
x
i
Coefficient of
x
1
=
20
20
=
10
!
9
!
1
!
×
a
9
×
b
1
a
9
⋅
b
=
2
a
=
2
,
b
=
2
Coefficient of
x
2
=
210
210
=
10
!
9
!
1
!
×
a
9
×
c
1
+
10
!
8
!
2
!
×
a
8
b
2
210
=
10
.
c
+
45
×
4
10
c
=
30
c
=
3
2
(
a
+
b
=
c
)
=
12
© examsnet.com
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