Question 1 :
The slope of the line passing through the points (3, -2) and (-7, -2) is<br/>

Question 2 :
If x ∈ W, then the solution set of the inequation 5 – 4x ≤ 2 – 3x is<br/>

Question 3 :
When the number 210 is increased in the ratio 5 : 7, the new number is<br/>

Question 4 :
If x, 12, 8 and 32 are in proportion, then the value of x is<br/>

Question 5 :
The slope of a line parallel to the line 2x + 3y – 7 = 0 is<br/>

Question 6 :
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 7 :
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 8 :
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 9 :
The value(s) of k for which the quadratic equation 2x² – kx + k = 0 has equal roots is (are)<br/>

Question 10 :
The slope of the line passing through the points (3, -2) and (3, -4) is<br/>

Question 11 :
The points which divide the line segment joining the points (7, -6) and (3, 4) in the ratio 1 : 2 internally lies in the<br/>

Question 12 :
The 4th term from the end of the A.P. -11, -8, -5, …, 49 is<br/>

Question 13 :
The reflection of the point P (-2, 3) in the y- axis is<br/>

Question 14 :
The reflection of the point P (1, -2) in the line y = -1 is<br/>

Question 15 :
The coordinates of the point which is equidistant from the three vertices of ∆AOB (shown in the given figure) are<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e52d586141c136a5d2e"/>

Question 17 :
The reflection of the point A (4, -1) in the line x = 2 is<br/>

Question 18 :
If k – 1, k + 1 and 2k + 3 are in A.P., then the value of k is<br/>

Question 19 :
Which of the following equations has two distinct real roots ?<br/>

Question 20 :
If x ∈ R, the solution set of 6 ≤ – 3 (2x – 4) < 12 is<br/>

Question 21 :
The sum of the squares of two consecutive even numbers is 580. Find the numbers

Question 22 :
The remainder when ( − 5 u²− 5 u − 3 ) is divided by ( u − 7 ) is

Question 23 :
Which of the following are true?<br> a) If {tex} \mathrm{AB}=0, {/tex} then {tex} \mathrm{A}=0 {/tex} or {tex} \mathrm{B}=0 {/tex} or both {tex} \mathrm{A} \& \mathrm{B} {/tex} are 0 <br>b) The order of {tex} (\mathrm {A \times B}) {/tex} and {tex} (\mathrm {B \times A}) {/tex} is same<br>c) If matrices {tex}\mathrm {A \ \& \ B}{/tex} can be multiplied, they must have the same order<br>d) If matrices {tex}\mathrm {A \ \& \ B}{/tex} can be added, they must have the same order

Question 25 :
73 is divided into two parts such that the sum of their reciprocals is 73/ 1326 . Find the two parts