1

AIEEE 2006

MCQ (Single Correct Answer)

+4

-1

The number of values of $$x$$ in the interval $$\left[ {0,3\pi } \right]\,$$ satisfying the equation $$2{\sin ^2}x + 5\sin x - 3 = 0$$ is

2

AIEEE 2006

MCQ (Single Correct Answer)

+4

-1

If $$0 < x < \pi $$ and $$\cos x + \sin x = {1 \over 2},$$ then $$\tan x$$ is

3

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

If $$u = \sqrt {{a^2}{{\cos }^2}\theta + {b^2}{{\sin }^2}\theta } + \sqrt {{a^2}{{\sin }^2}\theta + {b^2}{{\cos }^2}\theta } $$

then the difference between the maximum and minimum values of $${u^2}$$ is given by

then the difference between the maximum and minimum values of $${u^2}$$ is given by

4

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

Let $$\alpha ,\,\beta $$ be such that $$\pi < \alpha - \beta < 3\pi $$.

If $$sin{\mkern 1mu} \alpha + \sin \beta = - {{21} \over {65}}$$ and $$\cos \alpha + \cos \beta = - {{27} \over {65}}$$ then the value of $$\cos {{\alpha - \beta } \over 2}$$

If $$sin{\mkern 1mu} \alpha + \sin \beta = - {{21} \over {65}}$$ and $$\cos \alpha + \cos \beta = - {{27} \over {65}}$$ then the value of $$\cos {{\alpha - \beta } \over 2}$$

Questions Asked from Trigonometric Functions & Equations (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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