1
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The equation $$\sqrt 3 \sin x + \cos x = 4$$ has

A
only one solution
B
two solutions
C
infinitely many solutions
D
no solution
2
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The value of $$\cos 15^\circ \cos 7{1 \over 2}^\circ \sin 7{1 \over 2}^\circ$$ is

A
1/2
B
1/8
C
1/4
D
1/16
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

General solution of $$\sin x + \cos x = \mathop {\min }\limits_{a \in IR} \{ 1,{a^2} - 4a + 6\}$$ is

A
$${{n\pi } \over 2} + {( - 1)^n}{\pi \over 4}$$
B
$$2n\pi + {( - 1)^n}{\pi \over 4}$$
C
$$n\pi + {( - 1)^{n + 1}}{\pi \over 4}$$
D
$$n\pi + {( - 1)^n}{\pi \over 4} - {\pi \over 4}$$
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The value of $$\left( {1 + \cos {\pi \over 6}} \right)\left( {1 + \cos {\pi \over 3}} \right)\left( {1 + \cos {{2\pi } \over 3}} \right)\left( {1 + \cos {{7\pi } \over 6}} \right)$$ is

A
$${3 \over {16}}$$
B
$${3 \over {8}}$$
C
$${3 \over {4}}$$
D
$${1 \over {2}}$$
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