-
question_answer1)
Which equation satisfies the data given in the table?_________
A)
\[~y=x-2\] done
clear
B)
\[~y=2x-1\] done
clear
C)
\[~y=3x-3\] done
clear
D)
\[~y=x+1\] done
clear
View Solution play_arrow
-
question_answer2)
The graph of y= 6 is a line
A)
Parallel to \[x-\]axis at a distance of 6 units from the origin. done
clear
B)
Parallel to y-axis at a distance of 6 units from the origin. done
clear
C)
Making an intercept of 6 units on the \[x-\]axis. done
clear
D)
Making an intercept of 6 units on both the axes. done
clear
View Solution play_arrow
-
question_answer3)
If the point (3, 4) lies on the graph of the equation \[3y=ax+7,\] then the value of a is____.
A)
\[\frac{2}{3}\] done
clear
B)
1 done
clear
C)
\[\frac{4}{3}\] done
clear
D)
\[\frac{5}{3}\] done
clear
View Solution play_arrow
-
question_answer4)
How many linear equations in\[x\]and y can be satisfied by\[~x=2,y=3?\]
A)
Only one done
clear
B)
Only two done
clear
C)
Infinitely many done
clear
D)
None of these done
clear
View Solution play_arrow
-
question_answer5)
The graph of the linear equation \[2x+3y=6\] is a line which meets the\[x-\]axis at the point
A)
(0, 2) done
clear
B)
(2, 0) done
clear
C)
(3, 0) done
clear
D)
(0, 3) done
clear
View Solution play_arrow
-
question_answer6)
In the rectangular coordinate system given below, the shaded region is bounded by two straight lines. Which of the following is not an equation of one of the boundary lines?
A)
\[x=0\] done
clear
B)
\[x=1\] done
clear
C)
\[x-y=0\] done
clear
D)
\[x+2y=2\] done
clear
View Solution play_arrow
-
question_answer7)
\[ax+by++c=0\]does not represent an equation of line, if ____.
A)
\[a=c=0,b\ne 0\] done
clear
B)
\[b=c=0,a\ne 0\] done
clear
C)
\[a=b=0\] done
clear
D)
\[c=0,a\ne 0,b\ne 0\] done
clear
View Solution play_arrow
-
question_answer8)
A straight line parallel to the y-axis has equation ____.
A)
\[x=a\] done
clear
B)
\[~y=a\] done
clear
C)
\[y=x\] done
clear
D)
\[~y=-x\] done
clear
View Solution play_arrow
-
question_answer9)
If (2, 0) is a solution of the linear equation \[2x+3y=k,\] then the value of k is ____.
A)
4 done
clear
B)
6 done
clear
C)
5 done
clear
D)
2 done
clear
View Solution play_arrow
-
question_answer10)
If the graph of the equation \[4x+3y=12\] cuts the coordinate axes at A and B, then hypotenuse of right triangle AOB is of length
A)
4 units done
clear
B)
3 units done
clear
C)
5 units done
clear
D)
None of these done
clear
View Solution play_arrow
-
question_answer11)
Point (4, 1) lies on the line____.
A)
\[~x+2y=5~\] done
clear
B)
\[~2x+y=-6\] done
clear
C)
\[~x+2y=6\] done
clear
D)
\[~x+y=16\] done
clear
View Solution play_arrow
-
question_answer12)
The equation\[x=7\]in two variables, can be written as ____.
A)
\[~1-x+1-y=7\] done
clear
B)
\[~1-x+0-y=7\] done
clear
C)
\[~0-x+1-y=7\] done
clear
D)
None of these done
clear
View Solution play_arrow
-
question_answer13)
The point (a, - a) always lies on____.
A)
\[~x+y=0\] done
clear
B)
\[~x-y=0\] done
clear
C)
\[~x=-a\] done
clear
D)
\[~y=a\] done
clear
View Solution play_arrow
-
question_answer14)
The equation of the line whose graph passes through the origin is ____.
A)
\[~4x+2y=-1\] done
clear
B)
\[~x+y=1\] done
clear
C)
\[~8x+7y=0\] done
clear
D)
\[~8x-1=4y\] done
clear
View Solution play_arrow
-
question_answer15)
If \[\angle A\]and\[\angle B\]are complementary angles and \[m\angle A\]is \[x,\]which equation can be used to find m ZB which is denoted by y?
A)
\[~y=(90{}^\circ +x)\] done
clear
B)
\[~y=(90{}^\circ -x)\] done
clear
C)
\[~y=(180{}^\circ -x)\] done
clear
D)
\[~y=\left( x+180{}^\circ \right)\] done
clear
View Solution play_arrow
-
question_answer16)
A and B are friends. A is elder to B by 5 years. B's sister C is half the age of B while A's father D is 8 years older than twice the age of B. If the present age of D is 48 years, find the present ages of A, B and C respectively.
A)
50 years, 25 years, 20 years done
clear
B)
40 years, 20 years, 15 years done
clear
C)
20 years, 15 years, 10 years done
clear
D)
25 years, 20 years, 10 years done
clear
View Solution play_arrow
-
question_answer17)
Mayank and Sujata, two students of class 9th together contributed Rs. 1000 to PPM relief fund. (i) Find the linear equation satisfying the data. (ii) If Sujata contributed Rs. 475 then how much Mayank contributed.
A)
B)
C)
D)
View Solution play_arrow
-
question_answer18)
The cost of a note book is twice the cost of a pen. If the cost of a note book is Rs. \[x\]and that of a pen is Rs. y, then a linear equation in two variables to represent the given condition is ____.
A)
\[~x+2y=0\] done
clear
B)
\[~x-2y=0\] done
clear
C)
\[~2x+y=0\] done
clear
D)
\[2x-y=0\] done
clear
View Solution play_arrow
-
question_answer19)
Rakesh has Rs.\[x\]more than Mohan has, and together they have a total of Rs. y. Which of the following options represents the amount of money that Mohan has?
A)
Rs.\[\left( \frac{y-2}{2} \right)\] done
clear
B)
Rs.\[\left( y-\frac{x}{2} \right)\] done
clear
C)
Rs. \[\left( \frac{y}{2}-x \right)\] done
clear
D)
\[(2y-x)\] done
clear
View Solution play_arrow
-
question_answer20)
A part of monthly expenses of a family on milk is fixed which is Rs. 700 and remaining varies with quantity of milk taken extra at the rate of Rs. 25 per litre. Taking quantity of milk required extra as x litres and total expenditure on milk as Rs. y, write a linear equation from the above information.
A)
\[-25x+y=700\] done
clear
B)
\[20x+y=500\] done
clear
C)
\[20x+10y=300\] done
clear
D)
\[x+25y=900\] done
clear
View Solution play_arrow
-
question_answer21)
The equations representing the given graph is____.
A)
\[7x+2y=11;y-2x=3\] done
clear
B)
\[2x+7y=11;5x+(35y/2)=25\] done
clear
C)
\[3x-7y=10;8y-6x=4\] done
clear
D)
\[3x-4y=1;8y-6x=4\] done
clear
View Solution play_arrow
-
question_answer22)
If the temperature of a liquid can be measured in kelvin units as \[{{x}^{o}}\,K\]or in Fahrenheit units as \[y{}^\circ F.\]The relation between the two systems of measurement of temperature is given by the linear equation. \[y=\frac{9}{5}(x-273)+32\]
(i) Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is 313° K. |
(ii) If the temperature is 158° F, then find the temperature in Kelvin. |
A)
B)
C)
D)
View Solution play_arrow
-
question_answer23)
Fill in the blanks.
(i) A linear equation in two variables has P solutions(s). |
(ii) The graph of Q line has an equation of the form\[x=k.\] |
(iii) A line parallel to \[x-\]axis cuts the y-axis at R point(s). |
(iv) Distance between the graph of equation y = 2 and y = -4 is S units. |
A)
B)
C)
D)
View Solution play_arrow
-
question_answer24)
Which of the following is the graph of \[x+y=6\]and \[x-y=2?\]
A)
B)
C)
D)
None of these done
clear
View Solution play_arrow
-
question_answer25)
Match the linear equations in column-l with their solutions in column-ll.
Column - I | Column ?II |
(i) \[4x+3y=24\] | (i) \[(2,-3)\] |
(ii) \[\frac{x}{2}-\frac{y}{3}=2\] | (ii) \[(2,3)\] |
(iii) \[3x+5y=15\] | (iii) \[(3,4)\] |
(s) \[\frac{x-2}{3}=y-3\] | (iv) \[\left( \frac{9}{3},\frac{6}{5} \right)\] |
A)
\[(p)\to (iii),(Q)\to (ii),(r)\to (iv),(S)\to (iii)\] done
clear
B)
\[(p)\to (iii),(Q)\to (i),(r)\to (iv),(S)\to (ii)\] done
clear
C)
\[(p)\to (ii),(Q)\to (iv),(r)\to (i),(S)\to (iii)\] done
clear
D)
\[(p)\to (iii),(Q)\to (iv),(r)\to (i),(S)\to (ii)\] done
clear
View Solution play_arrow