1
WB JEE 2009
+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
$$n\pi + {( - 1)^n}{\pi \over 4} - {\pi \over 4}$$
2
WB JEE 2009
+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
$${1 \over {2}}$$
3
WB JEE 2009
+1
-0.25

$$P = {1 \over 2}{\sin ^2}\theta + {1 \over 3}{\cos ^2}\theta$$, then

A
$${1 \over 3} \le P \le {1 \over 2}$$
B
$$P \ge {1 \over 2}$$
C
$$2 \le P \le 3$$
D
$$- {{\sqrt {13} } \over 6} \le P \le {{\sqrt {13} } \over 6}$$
4
WB JEE 2009
+1
-0.25

A positive acute angle is divided into two parts whose tangents are 1/2 and 1/3. Then the angle is

A
$$\pi$$/4
B
$$\pi$$/5
C
$$\pi$$/3
D
$$\pi$$/6
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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