Question 1 :
The slope of a line perpendicular to the line passing through the points (2, 5) and (-3, 6) is<br/>
Question 2 :
The 30th term of the A.P. 10, 7, 4, … is<br/>
Question 3 :
The roots of the equation x<sup>2</sup> – 3x – 10 = 0 are<br/>
Question 4 :
The slope of the line passing through the points (3, -2) and (3, -4) is<br/>
Question 5 :
If {tex}P\left( \frac { a }{ 3 } ,4 \right) {/tex} segment joining the points Q (-6, 5) and R (-2, 3), then the value of a is<br/>
Question 6 :
If {tex}\begin{bmatrix} x-2y & 5 \\ 3 &y \end{bmatrix}=\begin{bmatrix} 6 & 5 \\ 3 & -2 \end{bmatrix} {/tex} then the value of x is<br/>
Question 7 :
If on dividing 2x<sup>3</sup> + 6x<sup>2</sup> – (2k – 7)x + 5 by x + 3, the remainder is k – 1 then the value of k is<br/>
Question 8 :
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 288, then the smaller number is<br/>
Question 9 :
If the first term of an A.P. is -5 and the common difference is 2, then the sum of its first 6 terms is<br/>
Question 12 :
The slope of a line which makes an angle of 30° with the positive direction of x-axis is<br/>
Question 13 :
If the 2nd term of an A.P. is 13 and the 5th term is 25, then its 7th term is<br/>
Question 14 :
If x, 12, 8 and 32 are in proportion, then the value of x is<br/>
Question 15 :
If the end points of a diameter of a circle are A (-2, 3) and B (4, -5), then the coordinates of its centre are<br/>
Question 16 :
If x ∈ W, then the solution set of the inequation 3x + 11 ≥ x + 8 is<br/>
Question 17 :
The ratio of 45 minutes to {tex}5 \frac { 3 }{ 4 } {/tex} hours is<br/>
Question 18 :
If the sum of the GP., 1, 4, 16, … is 341, then the number of terms in the GP. is<br/>
Question 19 :
If one root of a quadratic equation with rational coefficients is {tex}\frac { 3-\sqrt { 5 } }{ 2 } {/tex}, then the other<br/>
Question 20 :
The list of numbers – 10, – 6, – 2, 2, … is<br/>
Question 21 :
If {tex} \frac { 1 }{ 2 } {/tex} is a root of the quadratic equation 4x<sup>2</sup> – 4kx + k + 5 = 0, then the value of k is<br/>
Question 22 :
If x ∈ W, then the solution set of the inequation 5 – 4x ≤ 2 – 3x is<br/>
Question 23 :
The mean proportional between {tex} \frac { 1 }{ 2 } {/tex} and 128 is<br/>
Question 24 :
When x<sup>3</sup> – 3x<sup>2</sup> + 5x – 7 is divided by x – 2,then the remainder is<br/>
Question 25 :
The reflection of the point (-3, 0) in the origin is the point<br/>
Question 26 :
If {tex}\begin{bmatrix} x+3 &4 \\ y-4 & x+y \end{bmatrix}=\begin{bmatrix} 5 & 4 \\ 3 & 9 \end{bmatrix} {/tex} then the values of x and y are<br/>
Question 27 :
If {tex}\begin{bmatrix} x+2y & 3y \\ 4x & 2 \end{bmatrix}=\begin{bmatrix} 0 & -3 \\ 8 & 2 \end{bmatrix} {/tex} then the value of x – y is<br/>
Question 28 :
The third proportional to {tex}6 \frac { 1 }{ 4 } {/tex} and 5 is<br/>
Question 29 :
The mid-point of the line segment joining the points A (-2, 8) and B (-6, -4) is<br/>
Question 31 :
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 32 :
In an A.P., if a = 3.5, d = 0, n = 101, then a<sub>n</sub> will be<br/>
Question 33 :
If the equation 2x² – 5x + (k + 3) = 0 has equal roots then the value of k is<br/>
Question 34 :
The 10th term of the A.P. 5, 8, 11, 14, … is<br/>
Question 35 :
Which term of the A.P. 21, 42, 63, 84,… is 210?<br/>
Question 36 :
The slope of a line parallel to the line 2x + 3y – 7 = 0 is<br/>
Question 37 :
The slope of a line perpendicular to the line 3x = 4y + 11 is<br/>
Question 38 :
If on dividing 4x<sup>2</sup> – 3kx + 5 by x + 2, the remainder is -3 then the value of k is<br/>
Question 39 :
If the equation {k + 1)x² – 2(k – 1)x + 1 = 0 has equal roots, then the values of k are<br/>
Question 40 :
In an A.P., if a = -7.2, d = 3.6, a<sub>n</sub> = 7.2, then n is<br/>
Question 41 :
The quadratic equation 2x² – √5x + 1 = 0 has<br/>
Question 42 :
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 43 :
If A = {tex}\begin{bmatrix} 0 & 0 \\ 1 & 0 \end{bmatrix} {/tex} , then A² =<br/>
Question 44 :
If the slope of the line passing through the points (2, 5) and (k, 3) is 2, then the value of k is<br/>
Question 45 :
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 46 :
When the number 210 is increased in the ratio 5 : 7, the new number is<br/>
Question 47 :
If the equation 3x² – kx + 2k =0 roots, then the the value(s) of k is (are)<br/>
Question 48 :
The list of number {tex} \frac { 1 }{ 9 } {/tex} , {tex} \frac { 1 }{ 3 } {/tex}, 1, – 3,… is a<br/>
Question 49 :
If the mid-point of the line segment joining the points P (a, b – 2) and Q (-2, 4) is R (2, -3), then the values of a and b are<br/>
Question 50 :
The slope of the line passing through the points (3, -2) and (-7, -2) is<br/>
