If \(f:[-2,2]\rightarrow A\) is given by f(x) = 3³ then f is onto, if A is ___________

(a)

[3, 3]

(b)

(3, 3)

(c)

[-24,24]

(d)

(-24, 24)

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 coefficient of a⁵ in the expansion of (3a + 5b)⁵ is ______________

(a)

1

(b)

243

(c)

6750

(d)

9375

The length of perpendicular from the origin to a line is 12 and the line makes an angle of 120° with the positive direction of y-axis. then the equation of line is ______________

(a)

\(x+y\sqrt 3=24\)

(b)

\(x+y=12\sqrt 2\)

(c)

x + y = 24

(d)

\(x+y=12\sqrt 3\)

If co-ordinate axes are the angle bisectors of the pair of lines ax²+ 2hxy + by² = 0 then ______________

(a)

a = b

(b)

h = 0

(c)

a + b = 0

(d)

a²+ b² = 0

The co-ordinates of a point on x + y + 3 = 0 whose distance from x + 2y + 2 = 0 is \(\sqrt 5\), is ______________

(a)

(9, 6)

(b)

(-9, 6)

(c)

(6, -9)

(d)

(-9, -6)

The product of any matrix by the scalar_________is the null matrix.

(a)

1

(b)

0

(c)

I

(d)

matrix itself

If f(x) = \(\left| \begin{matrix} 0 & x-a & x-b \\ x+a & 0 & x-c \\ x+b & x+c & 0 \end{matrix} \right| \)  then _____________

(a)

f(a) = 0

(b)

f(b) = 0

(c)

f(0) = 0

(d)

f(1) = 0

\(\lim _{ x\rightarrow 1 }{ \frac { { x }^{ m }-1 }{ { x }^{ n }-1 } } is\)

(a)

mn

(b)

m+n

(c)

m-n

(d)

\(\frac { m }{ n } \)

The slop of the curve \(y={ x }^{ 3 }-7{ x }^{ 2 }+5x+10\) at x=1 is

(a)

6

(b)

-6

(c)

5

(d)

15