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JEE Main 8 Apr 2024 Shift 1 Solved Paper
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© examsnet.com
Question : 16
Total: 90
If the set
R
=
{
(
a
,
b
)
;
a
+
5
b
=
42
,
a
,
b
∈
N
}
has
m
elements and
m
∑
n
=
1
(
1
+
i
n
!
)
=
x
+
i
y
, where
I
=
√
−
1
, then the value of
m
+
x
+
y
is :
[8 Apr 2024 Shift 1]
8
12
4
5
Validate
Solution:
👈: Video Solution
a
+
5
b
=
42
,
a
,
b
∈
N
a
=
42
−
5
b
,
b
=
1
,
a
=
37
b
=
2
,
a
=
32
b
=
3
,
a
=
27
⋮
b
=
8
,
a
=
2
R
has
8
"
e
l
e
m
e
n
t
s
"
⇒
m
=
8
8
∑
n
=
1
(
1
−
i
n
!
)
=
x
+
i
y
for
n
≥
4
,
i
n
!
=
1
⇒
(
1
−
i
)
+
(
1
−
i
2
!
)
+
(
1
−
i
3
!
)
=
1
−
I
+
2
+
1
+
1
=
5
−
I
=
x
+
i
y
m
+
x
+
y
=
8
+
5
−
1
=
12
© examsnet.com
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