The shaded region in the adjoining diagram represents.

(a)

A\B

(b)

A'

(c)

B'

(d)

B\A

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

(a)

2¹²

(b)

2⁴

(c)

2¹⁶

(d)

2⁸

\((\sqrt { 5 } -2)(\sqrt { 5 } +2)\) is equal to ___________

(a)

1

(b)

3

(c)

23

(d)

21

If cosec x + cot x = \(\frac { 11 }{ 2 } \) then tan x = ___________

(a)

\(\frac { 21 }{ 22 } \)

(b)

\(\frac { 15 }{ 16 } \)

(c)

\(\frac { 44 }{ 117 } \)

(d)

\(\frac { 117 }{ 44 } \)

Among the players 5 are bowlers. In how many ways a team of 11 may be formed with atleast 4 bowlers?

(a)

265

(b)

263

(c)

264

(d)

275

If in an infinite G. P. first term is equal to 10 times the sum of all successive terms, then its common ratio is ______________

(a)

\(\frac { 1 }{ 10 } \)

(b)

\(\frac { 1 }{ 11 } \)

(c)

\(\frac { 1 }{ 9 } \)

(d)

\(\frac { 1 }{ 20 } \)

If the points (2k, k) (k, 2k) and (k, k) enclose a triangle of area 18 sq units, then the centroid of the triangle is ______________

(a)

(8, 8)

(b)

(4, 4)

(c)

(3, 3)

(d)

(2, 2)

The locus of a point which is equidistant from (-1, 1) and (4, 2) is ______________

(a)

5x + 3y + 9 = 0

(b)

5x + 3y - 9 = 0

(c)

3x - 5y = 0

(d)

3x + 5y - 9 = 0

On using elementary row operation R₁⟶R₁-3R₂ in the following matrix equation \(\begin{pmatrix} 4 & 2 \\ 3 & 3 \end{pmatrix}=\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}\)________.

(a)

\(\begin{pmatrix} -5 & -7 \\ 3 & 3 \end{pmatrix}=\begin{pmatrix} 1 & -7 \\ 0 & 3 \end{pmatrix}\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}\)

(b)

\(\begin{pmatrix} -5 & -7 \\ 3 & 3 \end{pmatrix}=\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\begin{pmatrix} -1 & -3 \\ 1 & 1 \end{pmatrix}\)

(c)

\(\begin{pmatrix} -5 & -7 \\ 3 & 3 \end{pmatrix}=\begin{pmatrix} 1 & 2 \\ 1 & -7 \end{pmatrix}\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}\)

(d)

\(\begin{pmatrix} 4 & 2 \\ -5 & -7 \end{pmatrix}=\begin{pmatrix} 1 & 2 \\ -3 & -3 \end{pmatrix}\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}\)

Choose the correct statement

(a)

Matrix addition is not associative

(b)

Matrix addition is not commutative

(c)

Matrix multiplication is associative

(d)

Matrix multiplication is commutative