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JEE Main 10 April 2016 Paper
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© examsnet.com
Question : 61
Total: 90
Let
P
=
{
θ
:
sin
θ
−
cos
θ
=
√
2
cos
θ
}
and
Q
=
{
θ
:
sin
θ
+
cos
θ
=
√
2
sin
θ
}
be two sets Then :
P
⊂
Q
and
Q
−
P
≠
ϕ
Q
⊄
P
P
⊄
Q
P
=
Q
Validate
Solution:
For Let P
sin
θ
=
cos
θ
(
√
2
+
1
)
(
√
2
−
1
)
sin
θ
=
cos
θ
.........(i)
For Let Q
cos
θ
=
(
√
2
−
1
)
sin
θ
.........(ii)
(i) & (ii) are same P = Q
© examsnet.com
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