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JEE Main 26 June 2022 Shift 2 Solved Paper
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© examsnet.com
Question : 22
Total: 90
Let
p
and
q
be two real numbers such that
p
+
q
=
3
and
p
4
+
q
4
=
369
. Then
(
1
p
+
1
q
)
−
2
is equal to____
[26-Jun-2022-Shift-2]
Your Answer:
Validate
Solution:
👈: Video Solution
∵
p
+
q
=
3
.
.
.
.
.
.
(i)
and
p
4
+
q
4
=
369
...... (ii)
{
(
p
+
q
)
2
−
2
p
q
}
2
−
2
p
2
q
2
=
369
or
(
9
−
2
p
q
)
2
−
2
(
p
q
)
2
=
369
or
(
p
q
)
2
−
18
p
q
−
144
=
0
∴
p
q
=
−
6
or 24
But
p
q
=
24
is not possible
∴
p
q
=
−
6
Hence,
(
1
p
+
1
q
)
−
2
=
(
p
q
p
+
q
)
2
=
(
−
2
)
2
=
4
© examsnet.com
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