1. The linear equation 4x – 10y = 14 has:
a) A unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
2. Find the number of solutions of the following pair of linear equations. x + 2y – 8 = 0 and 2x + 4y = 16:
a) 0
b) 1
c) 2
d) Infinite
3. If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:
a) 4
b) 6
c) 5
d) 2
4. The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:
a) (2, 0)
b) (0, 3)
c) (3, 0)
d) (0, 2)
5. The equation y = 5, in two variables, can be written as:
a) 1 .x + 1 .y = 5
b) 0 .x + 0 .y = 5
c) 1 .x + 0 .y = 5
d)0 .x + 1 .y = 5
6. Any point on the line y = x is of the form:
a) (a, –a)
b) (0, a)
c) (a, 0)
d) (a, a)
7. The graph of x = 5 is a line:
a) Parallel to x-axis at a distance 5 units from the origin
b) Parallel to y-axis at a distance 5 units from the origin
c) Making an intercept 5 on the x-axis
d) Making an intercept 5 on the y-axis
8. x = 9, y = 4 is a solution of the linear equation:
a) 2x + y = 17
b) x + y = 17
c) x + 2y = 17
d) 3x – 2y = 17
9. Any point on the x-axis is of the form:
a) (0, y)
b) (x, 0)
c) (x, x)
d) (x, y)
10. If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form:
a)y – x = 0
b)x + y = 0
c) –2x + y = 0
d) –x + 2y = 0
11. The positive solutions of the equation ax + by + c = 0 always lie in the:
a) 1st quadrant
b) 2nd quadrant
c) 3rd quadrant
d) 4th quadrant
12. The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:
a) (0, 3)
b) (3, 0)
c) (2, 0)
d) (0, 2)
13. The point of the form (a, –a) always lies on the line:
a) x = a
b) y = –a
c) y = x
d) x + y = 0
14. The graph of x = 9 is a straight line:
a) Intersecting both the axes
b) parallel to y-axis
c) parallel to x-axis
d) Passing through the origin
15. Equation of the line parallel to x-axis and 6 units above the origin is:
a) x = 6
b) x = –6
c)y = 6
d)y = –6
Question 16
The value of y at x = -1 in the equation 5y = 2 is
(a) 52
(b) 25
(c) 10
(d) 0
Question 17
Equation of a line which is 5 units distance above the x-axis is
(a) x = 5
(b) x + 5 = y
(c) y – 5
(d) x – y = 0
Question 18
x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the value of p is
(a) 0
(b) 12
(c) 2
(d) 3
Question 19
Which of the following is the equation of a line parallel to y-axis?
(a) y = 0
(b) x + y = z
(c) y = x
(d) x = a
Question 20
Any point on the line y = 3x is of the form
(a) (a, 3a)
(b) (3a, a)
(c) (a, a3)
(d) (a3, -a)
Question 21
To which equation does the graph represent?
(a) 3x – 7y = 10
(b) y – 2x = 3
(c) 8y – 6x = 4
(d) 5x +352y = 25
Question 22
Any point of the form (a, – a) always lie on the graph of the equation
(a) x = -a
(b) y = a
(c) y = x
(d) x + y = 0
Question 23
The graph of the equation 2x + 3y = 6 cuts the x-axis at the point
a) A unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
2. Find the number of solutions of the following pair of linear equations. x + 2y – 8 = 0 and 2x + 4y = 16:
a) 0
b) 1
c) 2
d) Infinite
3. If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:
a) 4
b) 6
c) 5
d) 2
4. The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:
a) (2, 0)
b) (0, 3)
c) (3, 0)
d) (0, 2)
5. The equation y = 5, in two variables, can be written as:
a) 1 .x + 1 .y = 5
b) 0 .x + 0 .y = 5
c) 1 .x + 0 .y = 5
d)0 .x + 1 .y = 5
6. Any point on the line y = x is of the form:
a) (a, –a)
b) (0, a)
c) (a, 0)
d) (a, a)
7. The graph of x = 5 is a line:
a) Parallel to x-axis at a distance 5 units from the origin
b) Parallel to y-axis at a distance 5 units from the origin
c) Making an intercept 5 on the x-axis
d) Making an intercept 5 on the y-axis
8. x = 9, y = 4 is a solution of the linear equation:
a) 2x + y = 17
b) x + y = 17
c) x + 2y = 17
d) 3x – 2y = 17
9. Any point on the x-axis is of the form:
a) (0, y)
b) (x, 0)
c) (x, x)
d) (x, y)
10. If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form:
a)y – x = 0
b)x + y = 0
c) –2x + y = 0
d) –x + 2y = 0
11. The positive solutions of the equation ax + by + c = 0 always lie in the:
a) 1st quadrant
b) 2nd quadrant
c) 3rd quadrant
d) 4th quadrant
12. The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:
a) (0, 3)
b) (3, 0)
c) (2, 0)
d) (0, 2)
13. The point of the form (a, –a) always lies on the line:
a) x = a
b) y = –a
c) y = x
d) x + y = 0
14. The graph of x = 9 is a straight line:
a) Intersecting both the axes
b) parallel to y-axis
c) parallel to x-axis
d) Passing through the origin
15. Equation of the line parallel to x-axis and 6 units above the origin is:
a) x = 6
b) x = –6
c)y = 6
d)y = –6
Question 16
The value of y at x = -1 in the equation 5y = 2 is
(a) 52
(b) 25
(c) 10
(d) 0
Question 17
Equation of a line which is 5 units distance above the x-axis is
(a) x = 5
(b) x + 5 = y
(c) y – 5
(d) x – y = 0
Question 18
x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the value of p is
(a) 0
(b) 12
(c) 2
(d) 3
Question 19
Which of the following is the equation of a line parallel to y-axis?
(a) y = 0
(b) x + y = z
(c) y = x
(d) x = a
Question 20
Any point on the line y = 3x is of the form
(a) (a, 3a)
(b) (3a, a)
(c) (a, a3)
(d) (a3, -a)
Question 21
To which equation does the graph represent?
(a) 3x – 7y = 10
(b) y – 2x = 3
(c) 8y – 6x = 4
(d) 5x +352y = 25
Question 22
Any point of the form (a, – a) always lie on the graph of the equation
(a) x = -a
(b) y = a
(c) y = x
(d) x + y = 0
Question 23
The graph of the equation 2x + 3y = 6 cuts the x-axis at the point
(a) (0, 3)
(b) (3, 0)
(c) (2, 0)
(d) (0, 2)
Question 24
Graph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points.
(a) (−ca, 0), (0, −cb)
(b) (0, −cb, 0), (−ca, 0)
(c) (-c, 0) (0, -c)
(d) (x, 0) (y, 0)
Question 25
Which of the following ordered pairs is a solution of the equation x – 2y – 6?
(a) (2, 4)
(b) (0, 3)
(c) (-4, 1)
(d) (4, -1)
Question 26
How many linear equation in x and y can be satisfied by x = 1 and y = 2?
(a) only one
(b) two
(c) infinitely many
(d) three
Question 27
Solution of linear equation 2x + 0.y + 9 = 0 is
(a) (92, m)
(b) (n, −92)
(c) (0, −92)
(d) (−92, 0)
Question 28
If (3, 2) is the solution 3x – ky = 5, then k equals of the equation
(a) 2
(b) 4
(c) 3
(d) 12
Question 29
Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.
(a) x – 2y – 10 = 0
(b) 2x – y – 10 = 0
(c) 2x + y – 10 = 0
(d) x – 2y + 10 = 0
Question 30
If x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is
(a) 6x + y = 5
(b) x = 6y + 5
(c) x + 6y = 5
(d) x – 6 = 5
Question 31
Equation of a line passing through origin is
(a) x + y = 1
(b) x = 2y – 4
(c) x + y = 0
(d) y = x – 1
32) The linear equation 3x-11y=10 has:
a. Unique solution
b. Two solutions
c. Infinitely many solutions
D no solution
33) 3x+10 = 0 will has:
a. Unique solution
b. Two solutions
c. Infinitely many solutions
d.No solutions
34) The solution of equation x-2y = 4 is:
a. (0,2)
b. (2,0)
c. (4,0)
d. (1,1)
35) Find the value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k.
a. 5
b. 6
c. 7
d. 8
36) Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:
a. 4/3
b. 5/3
c. 3
d. 4
37) The graph of linear equation x+2y = 2, cuts the y-axis at:
a. (2,0)
b. (0,2)
c. (0,1)
d. (1,1)
38) Any point on line x = y is of the form:
a. (k, -k)
b. (0, k)
c. (k, 0)
d. (k, k)
39) The graph of x = 3 is a line:
a. Parallel to the x-axis at a distance of 3 units from the origin
b. Parallel to the y-axis at a distance of 3 units from the origin
c. Makes an intercept 3 on the x-axis
d. Makes an intercept 3 on the y-axis
41.. Int. Any equation of the form ax + by + c = 0 where a, b and c are real numbers and a and b are not both zero is called a ————-
A. Linear equations in two variables
B. Quadratic equations in two variables
C. Cubic equation in two variables
42 The equation y = 2 in two variables can be written as ——————
A. 0 .x + 1 .y = 2
B. 1. x + 0. y = 2
C. 1. x + 0 .y = 0
43. A linear equation in two variables has ———– solutions.
A. One solution
B. Finite solutions
C. Infinitely many solutions
44. Which of the following is not a solution of the equation 2x + y = 7
A. (0, 7)
B. (1, 4)
C. (2, 3)
45. The value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k is ———
A. 5
B. 6
C. 7
46. The graph of the equation of the form y = kx is a line which always passes through the ————-
A. x axis
B. y axis
C. Origin
47. If the point (3, 4) lies on the graph of the equation 3y = ax + 7, then the value of a is ————-
A. 3/5
B. 5/3
C. 3/7
48. The graph of every linear equation in two variables is a ——–
A. Straight line
B. Curved figure
C. open curve
49. The graph of x = a is a straight line parallel to the ——— axis.
A. x axis
B. y axis
C. None of these
50. The graph of y = a is a straight line parallel to the ——— axis.
A. x axis
B. y axis
C. None of these
51. Any point on the x axis is of the form ————
A. (x, 0)
B. (0, x)
C. (0, y)
52. The equation of y axis is of the form —————
A. y = 0
B. x = 0
C. x = 1
53. The graph of y = 3 is a line ————-
A. Parallel to x axis at distance 3 units from the origin.
B. Parallel to y axis at distance 3 units from the origin.
C. None of these
54. x = 4, y=3 is a solution of the linear equation:
A. 2x + y = 17
B. 2x + 3y = 17
C. x + 3y = 17
55. Solution of the equation 3x – 5 = 2x + 1is —————-
A. 5
B. 6
C. 7
ercept
b. Slope
c. Solution of the equation
d. None of the above
56) If x and y are both positive solutions of equation ax+by+c=0, always lie in the:
a. First quadrant
b. Second quadrant
c. Third quadrant
d. Fourth quadrant
57) A linear equation in two variables is of the form ax + by + c = 0, where
(a) a = 0, c = 0
(b) a ≠ 0, b = 0
(c) a = 0, b ≠ 0
(d) a ≠ 0, b ≠ 0
58) Any point on the x-axis is of the form
(a) (x, y)
(b) (0, y)
(c) (x, 0)
(d) (x, x)
59) Any point on the y-axis is of the form
(a) (y, y)
(b) (0, y)
(c) (x, y)
(d) (x, 0)
60) The linear equation 2x – 5y = 7 has
(a) No solution
(b) unique solution
(c) Two solutions
(d) Infinitely many solutions
61) The linear equation 3x – y = x – 1 has
(a) No solution
(b) unique solution
(c) Two solutions
(d) Infinitely many solutions
62) The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point
(a) (2, 0)
(b) (0, 2)
(c) (3, 0)
(d) (0, 3)
63) The equation 2x + 5y = 7 has a unique solution, if x, y are:
(a) Rational numbers
(b) Real numbers
(c) Natural numbers
(d) Positive real numbers
64) The point of the form (a, a) always lies on:
(a) On the line x + y = 0
(b) On the line y = x
(c) x-axis
(d) y-axis
65) If we multiply or divide both sides of a linear equation with the same non-zero number, then the solution of the linear equation:
(a) Remains the same
(b) Changes
(c) Changes in case of multiplication only
(d) Changes in case of division
66) If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is
(a) 2
(b) 4
(c)
67. The linear equation 3x-11y=10 has:
a) Unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
68. 3x+10 = 0 will has:
a) Unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
69. The solution of equation x-2y = 4 is:
a) (0,2)
b) (2,0)
c) (4,0)
d) (1,1)
70. The value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k.
a) 5
b) 6
c) 7
d) 8
71. Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:
a) 4/3
b) 5/3
c) 3
d) 7/3
72. The graph of linear equation x+2y = 2, cuts the y-axis at:
a) (2,0)
b) (0,2)
c) (0,1)
d) (1,1)
73. Any point on the line x = y is of the form:
a) (k, -k)
b) (0, k)
c) (k, 0)
d) (k, k)
74. The graph of x = 3 is a line:
a) Parallel to x-axis at a distance of 3 units from the origin
b) Parallel to y-axis at a distance of 3 units from the origin
c) Makes an intercept 3 on x-axis
d) Makes an intercept 3 on y-axis
75. In equation, y = mx+c, m is:
a) Intercept
b) Slope of the line
c) Solution of the equation
d) None of the above
76. If x and y are both positive solutions of equation ax+by+c=0, always lie in:
a) First quadrant
b) Second quadrant
c) Third quadrant
d) Fourth quadrant
77. The linear equation 4x – 10y = 14 has:
a) A unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
78. Find the number of solutions of the following pair of linear equations. x + 2y – 8 = 0 and 2x + 4y = 16:
a) 0
b) 1
c) 2
d) Infinite
79. If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:
a) 4
b) 6
c) 5
d) 2
80. The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:
a) (2, 0)
b) (0, 3)
c) (3, 0)
d) (0, 2)
81. The equation y = 5, in two variables, can be written as:
a) 1 .x + 1 .y = 5
b) 0 .x + 0 .y = 5
c) 1 .x + 0 .y = 5
d)0 .x + 1 .y = 5
82. Any point on the line y = x is of the form:
a) (a, –a)
b) (0, a)
c) (a, 0)
d) (a, a)
83. The graph of x = 5 is a line:
a) Parallel to x-axis at a distance 5 units from the origin
b) Parallel to y-axis at a distance 5 units from the origin
c) Making an intercept 5 on the x-axis
d) Making an intercept 5 on the y-axis
84. x = 9, y = 4 is a solution of the linear equation:
a) 2x + y = 17
b) x + y = 17
c) x + 2y = 17
d) 3x – 2y = 17
85. Any point on the x-axis is of the form:
a) (0, y)
b) (x, 0)
c) (x, x)
d) (x, y)
86. If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form:
a)y – x = 0
b)x + y = 0
c) –2x + y = 0
d) –x + 2y = 0
87. The positive solutions of the equation ax + by + c = 0 always lie in the:
a) 1st quadrant
b) 2nd quadrant
c) 3rd quadrant
d) 4th quadrant
88. The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:
a) (0, 3)
b) (3, 0)
c) (2, 0)
d) (0, 2)
89. The point of the form (a, –a) always lies on the line:
a) x = a
b) y = –a
c) y = x
d) x + y = 0
90. The graph of x = 9 is a straight line:
a) Intersecting both the axes
b) parallel to y-axis
c) parallel to x-axis
d) Passing through the origin
91. Equation of the line parallel to x-axis and 6 units above the origin is:
a) x = 6
b) x = –6
c)y = 6
d)y = –6
92. Through which of the following points, the graph of y = –x passes?
(i) (1, 1)
(ii) (0, 1)
(iii) (–1, 1)
93. Through which of the following points, the graph of the linear equation 3x – 2y = 0, passes?
94. On which of the following equations, the point of the form (m, –m) lies?
(i) x = –m
(ii) x + y = 0
(iii) y = x
95. Do the points (2, 0), (–3, 0), (0, 2), (0, –5) lie either on x-axis or y-axis?
96. Which equation�s graph is at a distance 3 units to the left of y-axis?
x = 3; x = –3; or y = x
97. The graph of which of the following equations passes through the origin?
(i) y = 2x + c
(ii) y = 2x – c
(iii) y = 2x
.98..Any equation of the form ax + by + c = 0 where a, b and c are real numbers and a and b are not both zero is called a ————-
A. Linear equations in two variables
B. Quadratic equations in two variables
C. Cubic equation in two variables
99. The equation y = 2 in two variables can be written as ——————
A. 0 .x + 1 .y = 2
B. 1. x + 0. y = 2
C. 1. x + 0 .y = 0
100. A linear equation in two variables has ———– solutions.
A. One solution
B. Finite solutions
C. Infinitely many solutions
101. Which of the following is not a solution of the equation 2x + y = 7
A. (0, 7)
B. (1, 4)
C. (2, 3)
102.. The value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k is ———
A. 5
B. 6
C. 7
103. The graph of the equation of the form y = kx is a line which always passes through the ————-
A. x axis
B. y axis
C. Origin
105. If the point (3, 4) lies on the graph of the equation 3y = ax + 7, then the value of a is ————-
A. 3/5
B. 5/3
C. 3/7
106. The graph of every linear equation in two variables is a ——–
A. Straight line
B. Curved figure
C. open curve
107. The graph of x = a is a straight line parallel to the ——— axis.
A. x axis
B. y axis
C. None of these
108 The graph of y = a is a straight line parallel to the ——— axis.
A. x axis
B. y axis
C. None of these
109. Any point on the x axis is of the form ————
A. (x, 0)
B. (0, x)
C. (0, y)
110. The equation of y axis is of the form —————
A. y = 0
B. x = 0
C. x = 1
111. The graph of y = 3 is a line ————-
A. Parallel to x axis at distance 3 units from the origin.
B. Parallel to y axis at distance 3 units from the origin.
C. None of these
112. x = 4, y=3 is a solution of the linear equation:
A. 2x + y = 17
B. 2x + 3y = 17
C. x + 3y = 17
113 Solution of the equation 3x – 5 = 2x + 1is —————-
A. 5
B. 6
C. 7
•
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