1

IIT-JEE 1995

MCQ (Single Correct Answer)
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)
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
$$n\pi + {\left( { - 1} \right)^n}7\pi /6$$
3

IIT-JEE 1995 Screening

MCQ (Single Correct Answer)
$$\,3{\left( {\sin x - \cos x} \right)^4} + 6{\left( {\sin x + \cos x} \right)^2} + 4\left( {{{\sin }^6}x + {{\cos }^6}x} \right) = $$
A
11
B
12
C
13
D
14
4

IIT-JEE 1994

MCQ (Single Correct Answer)
Let $$2{\sin ^2}x + 3\sin x - 2 > 0$$ and $${x^2} - x - 2 < 0$$ ($$x$$ is measured in radians). Then $$x$$ lies in the interval
A
$$\left( {{\pi \over 6},\,{{5\pi } \over 6}} \right)\,\,$$
B
$$\left( { - 1,\,{{5\pi } \over 6}} \right)$$
C
$$\left( { - 1,\,2} \right)\,\,\,$$
D
$$\left( {{\pi \over 6},\,2} \right)$$

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