1
WB JEE 2009
MCQ (Single Correct Answer)
+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
$$ - {{\sqrt {13} } \over 6} \le P \le {{\sqrt {13} } \over 6}$$
2
WB JEE 2009
MCQ (Single Correct Answer)
+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
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The smallest value of $$5\cos \theta + 12$$ is

A
5
B
12
C
7
D
17
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

In triangle ABC, a = 2, b = 3 and sin A = 2/3, thne B is equal to

A
30$$^\circ$$
B
60$$^\circ$$
C
90$$^\circ$$
D
120$$^\circ$$
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CBSE
Class 12