The number of constant functions from a set containing m elements to a set containing n elements is

(a)

mn

(b)

m

(c)

n

(d)

m+n

If |x+2| \(\le\) 9, then x belongs to

(a)

\((-\infty ,-7)\)

(b)

[-11, 7]

(c)

\((-\infty ,-7)\cup (11,\infty)\)

(d)

(-11, 7)

\(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

(a)

\(\sqrt{2}\)

(b)

\(\sqrt{3}\)

(c)

2

(d)

4

The sum of the digits at the 10^th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

(a)

432

(b)

108

(c)

36

(d)

18

If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then x is

(a)

2

(b)

1

(c)

4

(d)

16

The equation of the locus of the point whose distance from y-axis is half the distance from origin is

(a)

x² + 3y² = 0

(b)

x²- 3y² = 0

(c)

3x²+ y² = 0

(d)

3x²- y² = 0

If a_ij = \({1\over2}(3i-2j)\) and A = [a_ij]_2x2 is

(a)

\(\begin{bmatrix} {1\over 2}& 2 \\ -{1\over2} & 1 \end{bmatrix}\)

(b)

\(\begin{bmatrix} {1\over 2}& -{1\over2} \\ 2& 1 \end{bmatrix}\)

(c)

\(\begin{bmatrix} 2& 2\\ {1\over 2}& -{1\over2} \end{bmatrix}\)

(d)

\(\begin{bmatrix} -{1\over 2}& {1\over2} \\ 1& 2 \end{bmatrix}\)

The value of \(\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}\) is

(a)

\(\overrightarrow{AD}\)

(b)

\(\overrightarrow{CA}\)

(c)

\(\overrightarrow{0}\)

(d)

\(-\overrightarrow{AD}\)

\(lim_{x\rightarrow\infty}{sin \ x \over x} \)

(a)

1

(b)

0

(c)

\(\infty\)

(d)

-\(\infty\)

\(\frac{d}{d x}\left(\frac{2}{\pi} \sin x^{\circ}\right)\) is

(a)

\({\pi\over 180}cos \ x^o\)

(b)

\({1\over 90} cos \ x^o\)

(c)

\({\pi\over 90}cos \ x^o\)

(d)

\({2\over \pi}cos \ x^o\)