JEE Advanced 2013 Paper 1 Offline | Trigonometric Functions & Equations Question 15 | Mathematics

JEE Advanced 2013 Paper 1 Offline

MCQ (Single Correct Answer)

-1

The number of points in $$\left( { - \infty \,\infty } \right),$$ for which $${x^2} - x\sin x - \cos x = 0,$$ is

IIT-JEE 2011 Paper 1 Offline

MCQ (Single Correct Answer)

-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

$$P \subset Q$$ and $$Q - P \ne \emptyset $$

$$Q \not\subset P$$

$$P \not\subset Q$$

$$P = Q$$

IIT-JEE 2007

MCQ (Single Correct Answer)

-0.75

The number of solutions of the pair of equations $$$\,2{\sin ^2}\theta - \cos 2\theta = 0$$$ $$$2co{s^2}\theta - 3\sin \theta = 0$$$

in the interval $$\left[ {0,2\pi } \right]$$

zero

one

two

four

IIT-JEE 2006 Screening

MCQ (Single Correct Answer)

-0.75

The values of $$\theta \in \left( {0,2\pi } \right)$$ for which $$2\,{\sin ^2}\theta - 5\,\sin \theta + 2 > 0,$$ are

$$\left( {0,{\pi \over 6}} \right)\, \cup \,\left( {{{5\pi } \over 6},2\pi } \right)$$

$$\,\left( {{\pi \over 8},{{5\pi } \over 6}} \right)$$

$$\left( {0,{\pi \over 8}} \right)\, \cup \,\left( {{\pi \over 6},{{5\pi } \over 6}} \right)$$ v

$$\,\left( {{{41\pi } \over {48}},\,\pi } \right)$$

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