The function f:R➝R be defined by f(x) = sinx + cosx is

(a)

an odd function

(b)

neither an odd function nor an even function

(c)

an even function

(d)

both odd function and even function

The number of reflective relations one set containing n elements is __________

(a)

2¹²

(b)

2⁴

(c)

2¹⁶

(d)

2⁸

If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

(a)

0.5

(b)

2.5

(c)

1.5

(d)

1.25

2tan^-1\(\left( \frac { 1 }{ 5 } \right) \) is equal to _______________

(a)

tan\(\left( \frac { 5 }{ 12 } \right) \)

(b)

\(\frac { 5 }{ 12 } \)

(c)

\(\tan^{-1}\left({5 \over 12}\right)\)

(d)

tan^-1\(\frac { 2 }{ 5 } \)

The number of ways in which we can arrange 4 letters of the word "MATHEMATICS" is given by  _________

(a)

136

(b)

2454

(c)

1680

(d)

192

The point (2, 1) and (-3, 5) are on ______________

(a)

Same side of the line 3x - 2y + 1 = 0

(b)

Opposite sides of the line 3x - 2y + 1 = 0

(c)

On the line 3x - 2y + 1 = 0

(d)

On the line x + y = 3

A root of the equation \(\begin{vmatrix} 3-x&-6 &3 \\ -6 & 3-x & 3 \\ 3 &3 &-6-x \end{vmatrix}=0 \ is\)

(a)

6

(b)

3

(c)

0

(d)

-6

If \(\left( \begin{matrix} 2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3 \end{matrix} \right) \) is a singular matrix, then \(\lambda \) is_____________

(a)

\(\lambda \)=2

(b)

\(\lambda \)≠2

(c)

\(\lambda =\frac { -8 }{ 5 } \)

(d)

\(\lambda \neq \frac { -8 }{ 5 } \)

\(lim_{x \rightarrow \infty}{\sqrt{x^2-1}\over 2x+1}=\)

(a)

1

(b)

0

(c)

-1

(d)

\(1\over 2\)

The slope of the graph of \(f\left( x \right) =\frac { \left| x \right| }{ x } ,x>0\quad is\)

(a)

1

(b)

0

(c)

-1

(d)

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