Question 1 :
If A = {tex}\begin{bmatrix} 0 & 0 \\ 1 & 0 \end{bmatrix} {/tex} , then A² =<br/>
Question 2 :
The point which lies on the perpendicular bisector of the line segment joining the points A (-2, -5) and B (2, 5) is<br/>
Question 4 :
If {tex}\begin{bmatrix} x+2y & -y \\ 3x & 7 \end{bmatrix}=\begin{bmatrix} -4 & 3 \\ 6 & 4 \end{bmatrix} {/tex} then the values of x and y are<br/>
Question 5 :
The reflection of the point (-3, 0) in the origin is the point<br/>
Question 6 :
The slope of a line perpendicular to the line passing through the points (2, 5) and (-3, 6) is<br/>
Question 7 :
When x<sup>3</sup> – 3x<sup>2</sup> + 5x – 7 is divided by x – 2,then the remainder is<br/>
Question 8 :
If A = {tex}\begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix} {/tex} , then A² =<br/>
Question 9 :
If on dividing 4x<sup>2</sup> – 3kx + 5 by x + 2, the remainder is -3 then the value of k is<br/>
Question 10 :
If one end of a diameter of a circle is (2, 3) and the centre is (-2, 5), then the other end is<br/>
Question 11 :
Which of the following points is invariant with respect to the line y = -2 ?<br/>
Question 12 :
If the line 3x – 4y + 7 = 0 and 2x + ky + 5 = 0 are perpendicular to each other, then the value of k is<br/>
Question 13 :
Which of the following equations has 2 as a root ?<br/>
Question 14 :
The 21st term of an A.P. whose first two terms are -3 and 4 is<br/>
Question 15 :
A ratio equivalent to the ratio {tex} \frac { 2 }{ 3 } {/tex} : {tex} \frac { 5 }{ 7 } {/tex} is<br/>
Question 16 :
If {tex}x\left[ \begin{matrix} 2 \\ 3 \end{matrix} \right] +y\left[ \begin{matrix} -1 \\ 0 \end{matrix} \right] =\left[ \begin{matrix} 10 \\ 6 \end{matrix} \right] {/tex} then the values of x and y are<br/>
Question 17 :
The points A (9, 0), B (9, 6), C (-9, 6) and D (-9, 0) are the vertices of a<br/>
Question 18 :
The 15th term from the last of the A.P. 7, 10, 13, …,130 is<br/>
Question 19 :
If the equation 2x² – 6x + p = 0 has real and different roots, then the values ofp are given by<br/>
Question 20 :
If B = {tex}\begin{bmatrix} -1 & 5 \\ 0 & 3 \end{bmatrix} {/tex} and A – 2B = {tex}\begin{bmatrix} 0 & 4 \\ -7 & 5 \end{bmatrix} {/tex}<br/> then the matrix A is equal to<br/>
Question 21 :
Find the remainder when ( 3 x<sup>2 </sup>− 26 x + 16 ) is divided by ( x − 6 )
Question 22 :
Factorize ( x<sup>4 </sup>+ 5 x<sup>3 </sup>− 55 x<sup>2 </sup>− 185 x − 126 )
Question 23 :
Which of the following polynomials is a multiple of ( 3 x + 1 ) ?
Question 24 :
The remainder when ( − 8 q<sup>2 </sup>− 5 q ) is divided by ( q − 4 ) is
Question 25 :
Which of the following are true?<br>a) A unit matrix has only one row and one column <br>b) A scalar matrix has all elements with same value<br>c) A zero matrix is a square matrix<br> d) A {tex} 1 \times 1 {/tex} matrix has only one element
