jee-main 2016 Q68

jee-main · India · 10apr Standard trigonometric equations Locus or solution set characterization of a trigonometric relation

Let $P = \{ \theta : \sin \theta - \cos \theta = \sqrt { 2 } \cos \theta \}$ and $Q = \{ \theta : \sin \theta + \cos \theta = \sqrt { 2 } \sin \theta \}$, be two sets. Then
(1) $P \subset Q$ and $Q - P \neq \phi$
(2) $Q \not \subset P$
(3) $P = Q$
(4) $P \not \subset Q$

Let $P = \{ \theta : \sin \theta - \cos \theta = \sqrt { 2 } \cos \theta \}$ and $Q = \{ \theta : \sin \theta + \cos \theta = \sqrt { 2 } \sin \theta \}$, be two sets. Then\\
(1) $P \subset Q$ and $Q - P \neq \phi$\\
(2) $Q \not \subset P$\\
(3) $P = Q$\\
(4) $P \not \subset Q$

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