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Trigonometric Functions And Equations

IIT-JEE 2008 Paper 2 Offline

MCQ+4 / -12008

Match the Statements/Expressions in Column I with the Statements/Expressions in Column II.



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.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}
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font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;}
.tg .tg-c3ow{border-color:inherit;text-align:center;vertical-align:top}
.tg .tg-7btt{border-color:inherit;font-weight:bold;text-align:center;vertical-align:top}
.tg .tg-0pky{border-color:inherit;text-align:left;vertical-align:top}










































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

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