If and be two sets

MATHEMATICS · Single correct · CBSE · Mathematics · Sets · Sets

Problem

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 \emptyset

(2)

Q \subset P

(3)

P \not\subset Q

(4)

P = Q