1
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-1
Match the Statements/Expressions in Column I with the Statements/Expressions in Column II.
| Column I | Column II | ||
|---|---|---|---|
| (A) | The minimum value of $${{{x^2} + 2x + 4} \over {x + 2}}$$ is | (P) | 0 |
| (B) | Let A and B be 3 $$\times$$ 3 matrices of real numbers, where A is symmetric, B is skew-symmetric and (A + B) (A $$-$$ B) = (A $$-$$ B) (A + B). If (AB)$$^t$$ = ($$-1$$)$$^k$$ AB, where (AB)$$^t$$ is the transpose of the matrix AB, then the possible values of k are | (Q) | 1 |
| (C) | Let $$a=\log_3\log_3 2$$. An integer k satisfying $$1 < {2^{( - k + 3 - a)}} < 2$$, must be less than | (R) | 2 |
| (D) | If $$\sin \theta = \cos \varphi $$, then the possible values of $${1 \over \pi }\left( {\theta + \varphi - {\pi \over 2}} \right)$$ are | (S) | 3 |
2
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
The number of solutions of the pair of equations
$$2{\sin ^2}\theta - \cos 2\theta = 0$$
$$2{\cos ^2}\theta - 3\sin \theta = 0$$
in the interval $$[0,2\pi]$$ is
3
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1
Let $$\theta \in\left(0, \frac{\pi}{4}\right)$$ and $$t_{1}=(\tan \theta)^{\tan \theta}, t_{2}=(\tan \theta)^{\cot \theta}, t_{3}=(\cot \theta)^{\tan \theta}$$ and $$t_{4}=(\cot \theta)^{\cot \theta}$$, then
4
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1
If $0<\theta<2 \pi$, then the intervals of values of $\theta$ for which $2 \sin ^2 \theta-5 \sin \theta+2>0$, is
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