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Trigonometric Functions and Equations question

2011 · Shift 1 · Q40

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JEE Advanced
Mathematics
Trigonometric Functions and Equations
2011 · Shift 1 · Q40

Trigonometric Functions and Equations question

2011 · Shift 1 · Q40

JEE AdvancedMathematicsTrigonometric Functions and EquationsMCQ+3 / −1

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

A
$P \subset Q$ and $Q - P e \emptyset$
B
$Q ot\subset P$
C
$P ot\subset Q$
D
$P = Q$

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