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JEE Mains 6-Apr-2023 Shift 1 Solved Paper
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© examsnet.com
Question : 8
Total: 90
If
2
n
C
3
:
n
C
3
:
10
:
1
, then the ratio
(
n
2
+
3
n
)
:
(
n
2
−
3
n
+
4
)
is :
[6-Apr-2023 shift 1]
27
:
11
35
:
16
2
:
1
65
:
37
Validate
Solution:
2
n
C
3
n
C
3
=
10
⇒
2
n
!
(
n
−
3
)
!
(
2
n
−
3
)
!
n
!
=
10
2
n
(
2
n
−
1
)
(
2
n
−
2
)
n
(
n
−
1
)
(
n
−
2
)
=
10
4
(
2
n
−
1
)
n
−
2
=
10
⇒
8
n
−
4
=
10
n
−
20
2
n
=
16
Now
n
2
+
3
n
n
2
−
3
n
+
4
=
64
+
24
64
−
24
+
4
=
88
44
=
2
© examsnet.com
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