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JEE Main 9 Apr 2024 Shift 1 Solved Paper
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© examsnet.com
Question : 51
Total: 90
If
→
a
and
→
b
makes an angle
cos
−
1
(
5
9
)
with each other, then
|
→
a
+
→
b
|
=
√
2
|
→
a
−
→
b
|
for
|
→
a
|
=
n
|
→
b
|
The integer value of
n
is ______.
[9 Apr 2024 Shift 1]
Your Answer:
Validate
Solution:
👈: Video Solution
cos
θ
=
5
9
→
a
⋅
→
b
a
b
=
5
9
.
.
.
.
.
.
.
(
1
)
|
→
a
+
→
b
|
=
√
2
|
→
a
−
→
b
|
a
2
+
b
2
+
2
→
a
⋅
→
b
=
2
a
2
+
2
b
2
−
4
→
a
⋅
→
b
6
→
a
⋅
→
b
=
a
2
+
b
2
6
×
5
9
a
b
=
a
2
+
b
2
10
3
a
b
=
a
2
+
b
2
&
a
=
n
b
10
3
n
b
2
=
n
2
b
2
+
b
2
3
n
2
−
10
n
+
3
=
0
n
=
1
3
and
n
=
3
integer value
n
=
3
© examsnet.com
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