1
IIT-JEE 1995
MCQ (Single Correct Answer)
+2
-0.5
The minimum value of the expression $$\sin \,\alpha + \sin \,\beta \, + \sin \,\gamma ,\,$$ where $$\alpha ,\,\beta ,\,\gamma $$ are real numbers satisfying $$\alpha + \beta + \gamma = \pi $$ is
A
positive
B
zero
C
negative
D
-3
2
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
$$\,3{\left( {\sin x - \cos x} \right)^4} + 6{\left( {\sin x + \cos x} \right)^2} + 4\left( {{{\sin }^6}x + {{\cos }^6}x} \right) = $$
A
11
B
12
C
13
D
14
3
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
The general values of $$\theta $$ satisfying the equation $$2{\sin ^2}\theta - 3\sin \theta - 2 = 0$$ is
A
$$n\pi + {\left( { - 1} \right)^n}\pi /6$$
B
$$n\pi + {\left( { - 1} \right)^n}\pi /2 $$
C
$$n\pi + {\left( { - 1} \right)^n}5\pi /6$$
D
$$n\pi + {\left( { - 1} \right)^n}7\pi /6$$
4
IIT-JEE 1994
MCQ (Single Correct Answer)
+2
-0.5
Let $$0 < x < {\pi \over 4}$$ then $$\left( {\sec 2x - \tan 2x} \right)$$ equals
A
$$\tan \left[ {x - {\pi \over 4}} \right]$$
B
$$\tan \left[ {{\pi \over 4} - x} \right]$$
C
$$\tan \left[ {x + {\pi \over 4}} \right]$$
D
$${\tan ^2}\left[ {x + {\pi \over 4}} \right]$$
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