This MCQ set is designed as per the latest CBSE 2026–27 syllabus and exam pattern. All questions are concept-based, unique, and help students prepare effectively for school exams and competitive tests.
Try to solve all questions before checking answers to test your real preparation level.
👉 Answers to all 100 MCQs are provided at the end of the post.
🔹 MCQs
1. Which of the following is a linear equation in two variables?
(a)
(b)
(c)
(d)
2. The graph of a linear equation in two variables is a
(a) circle
(b) straight line
(c) parabola
(d) curve
3. How many solutions does the equation x+y=6 have?
(a) one
(b) two
(c) infinitely many
(d) none
4. Which point satisfies x+y=5 ?
(a) (2,3)
(b) (1,1)
(c) (3,3)
(d) (4,2)
5. The equation x=4 represents a
(a) horizontal line
(b) vertical line
(c) slant line
(d) curve
6. The equation y=−2 represents a
(a) vertical line
(b) horizontal line
(c) slant line
(d) curve
7. Which of the following is NOT a solution of x+y=4 ?
(a) (1,3)
(b) (2,2)
(c) (3,1)
(d) (4,2)
8. The point (0,5) lies on the
(a) x-axis
(b) y-axis
(c) origin
(d) none
9. If x = 0, the point lies on the
(a) x-axis
(b) y-axis
(c) both axes
(d) none
10. If y = 0, the point lies on the
(a) x-axis
(b) y-axis
(c) origin only
(d) none
11. The equation 2x+y=7 has
(a) one solution
(b) two solutions
(c) infinitely many solutions
(d) no solution
12. The graph of y=3x passes through
(a) origin
(b) (1,0)
(c) (0,1)
(d) (2,3)
13. Which equation represents a horizontal line?
(a)
(b)
(c)
(d) none
14. Which equation represents a vertical line?
(a)
(b)
(c)
(d) none
15. The solution of 3x+y=10 when x = 2 is
(a) 2
(b) 3
(c) 4
(d) 5
16. The degree of a linear equation is
(a) 1
(b) 2
(c) 3
(d) 0
17. The coordinates of origin are
(a) (1,1)
(b) (0,0)
(c) (1,0)
(d) (0,1)
18. The equation x−y=0 represents
(a)
(b)
(c)
(d) none
19. If (3, k) lies on x+y=7, then k =
(a) 3
(b) 4
(c) 5
(d) 2
20. Which point lies on 2x+y=8?
(a) (2,4)
(b) (3,3)
(c) (4,2)
(d) (1,6)
21. The graph of x+y=0 passes through
(a) origin
(b) (1,1)
(c) (2,2)
(d) none
22. If y = 2x + 1, find y when x = 2
(a) 3
(b) 4
(c) 5
(d) 6
23. Which is not a linear equation?
(a)
(b)
(c)
(d)
24. The solution set of a linear equation is
(a) finite
(b) infinite
(c) zero
(d) two
25. Which equation passes through origin?
(a)
(b)
(c)
(d) none
26. If x = 3, y = 2 is a solution of equation, then equation can be
(a)
(b)
(c)
(d) none
27. The graph of x=−2 is
(a) vertical line
(b) horizontal line
(c) slant line
(d) curve
28. The graph of y=−3 is
(a) vertical
(b) horizontal
(c) slant
(d) none
29. Which point lies on x−y=1 ?
(a) (2,1)
(b) (3,2)
(c) (4,3)
(d) all
30. If two lines intersect, system has
(a) no solution
(b) one solution
(c) infinite solutions
(d) none
31. If two lines are parallel, system has
(a) one solution
(b) no solution
(c) infinite solutions
(d) two solutions
32. Coincident lines have
(a) no solution
(b) one solution
(c) infinite solutions
(d) none
33. Equation 0x+y=4 represents
(a) x-axis
(b) y-axis
(c) horizontal line
(d) vertical line
34. Equation x+0y=5 represents
(a) vertical line
(b) horizontal line
(c) slant
(d) none
35. If x increases and y decreases, slope is
(a) positive
(b) negative
(c) zero
(d) undefined
36. Slope of horizontal line is
(a) 0
(b) 1
(c) -1
(d) infinite
37. Slope of vertical line is
(a) 0
(b) 1
(c) infinite
(d) -1
38. Equation y=mx+c , m represents
(a) intercept
(b) slope
(c) constant
(d) variable
39. Equation y=0 represents
(a) x-axis
(b) y-axis
(c) origin
(d) none
40. Equation x=0 represents
(a) x-axis
(b) y-axis
(c) origin
(d) none
41. If (1,2) satisfies equation, then LHS = RHS is
(a) true
(b) false
(c) undefined
(d) none
42. Number of variables in 2x+3y=5
(a) 1
(b) 2
(c) 3
(d) 0
43. Equation y=x passes through
(a) origin
(b) (1,0)
(c) (0,1)
(d) none
44. If y = 2x, when x = 3, y =
(a) 5
(b) 6
(c) 7
(d) 8
45. The graph of linear equation is always
(a) straight line
(b) curve
(c) circle
(d) none
46. Which point lies on 2x+3y=12 ?
(a) (3,2)
(b) (2,3)
(c) (4,2)
(d) (1,1)
47. The equation x+y=0 gives line through
(a) origin
(b) x-axis
(c) y-axis
(d) none
48. Which is correct ordered pair?
(a) (x,y)
(b) (y,x)
(c) both
(d) none
49. If x = y, equation becomes
(a) x = y
(b) x + y = 0
(c) x – y = 0
(d) none
50. Linear equation has graph of
(a) straight line
(b) curve
(c) circle
(d) none
51. Which equation is linear?
(a)
(b)
(c)
(d) none
52. The solution set is represented by
(a) line
(b) point
(c) circle
(d) none
53. A point on x-axis has form
(a) (a,0)
(b) (0,a)
(c) (a,a)
(d) none
54. A point on y-axis has form
(a) (0,a)
(b) (a,0)
(c) (a,a)
(d) none
55. Equation x+y=2 has how many solutions?
(a) 1
(b) 2
(c) infinite
(d) none
56. Which is solution of x+y=2 ?
(a) (1,1)
(b) (2,0)
(c) (0,2)
(d) all
57. If (x,y) = (2,3), then x+y =
(a) 4
(b) 5
(c) 6
(d) 3
58. The equation y=x+1 is
(a) linear
(b) quadratic
(c) cubic
(d) none
59. The graph of y=x+1 is
(a) straight line
(b) curve
(c) circle
(d) none
60. If x = 1, y = 2 satisfies equation, then
(a) LHS = RHS
(b) LHS ≠ RHS
(c) none
(d) undefined
61. Two lines intersect at one point → system is
(a) consistent
(b) inconsistent
(c) dependent
(d) none
62. Parallel lines → system is
(a) consistent
(b) inconsistent
(c) dependent
(d) none
63. Coincident lines → system is
(a) consistent dependent
(b) inconsistent
(c) independent
(d) none
64. Equation with no solution → lines are
(a) parallel
(b) intersecting
(c) same
(d) none
65. Equation with infinite solutions → lines are
(a) same
(b) parallel
(c) intersecting
(d) none
66. Graph method solves equation using
(a) geometry
(b) algebra
(c) arithmetic
(d) none
67. Ordered pair is written as
(a) (x,y)
(b) (y,x)
(c) both
(d) none
68. If point satisfies equation, it lies on
(a) graph
(b) outside graph
(c) none
(d) undefined
69. If not satisfy, lies
(a) on graph
(b) outside graph
(c) origin
(d) none
70. Linear equation has variables of degree
(a) 1
(b) 2
(c) 3
(d) none
71. Which is linear?
(a)
(b)
(c)
(d) none
72. Equation x−y=0 graph is
(a) line
(b) curve
(c) circle
(d) none
73. If x = y, slope is
(a) 1
(b) -1
(c) 0
(d) infinite
74. Equation y=−x slope is
(a) -1
(b) 1
(c) 0
(d) infinite
75. If y = constant → line is
(a) horizontal
(b) vertical
(c) slant
(d) none
76. If x = constant → line is
(a) vertical
(b) horizontal
(c) slant
(d) none
77. Graph of 2x+y=0 passes through
(a) origin
(b) (1,1)
(c) (2,2)
(d) none
78. Equation x+y=1 has solutions
(a) finite
(b) infinite
(c) none
(d) two
79. Which satisfies x+y=1 ?
(a) (1,0)
(b) (0,1)
(c) (-1,2)
(d) all
80. Graph of linear equation is drawn using
(a) two points
(b) one point
(c) three points
(d) none
81. Minimum points to draw line are
(a) 1
(b) 2
(c) 3
(d) infinite
82. If two points same → graph is
(a) point
(b) line
(c) curve
(d) none
83. Linear equation represents
(a) line
(b) curve
(c) circle
(d) none
84. Which is correct?
(a) linear → straight
(b) linear → curve
(c) linear → circle
(d) none
85. If slope positive → line goes
(a) upward
(b) downward
(c) flat
(d) none
86. If slope negative → line goes
(a) upward
(b) downward
(c) flat
(d) none
87. If slope zero → line is
(a) horizontal
(b) vertical
(c) slant
(d) none
88. Infinite slope → line is
(a) vertical
(b) horizontal
(c) slant
(d) none
89. Linear equation has graph of
(a) straight line
(b) curve
(c) circle
(d) none
90. Equation x+y=0 passes through
(a) origin
(b) (1,1)
(c) (2,2)
(d) none
91. If x increases and y increases → slope
(a) positive
(b) negative
(c) zero
(d) none
92. If x increases, y decreases → slope
(a) positive
(b) negative
(c) zero
(d) none
93. Equation y=mx+c is
(a) standard form
(b) slope form
(c) intercept form
(d) none
94. c in equation represents
(a) intercept
(b) slope
(c) variable
(d) none
95. m represents
(a) slope
(b) intercept
(c) variable
(d) none
96. Equation y=2x+3 intercept is
(a) 3
(b) 2
(c) 5
(d) 1
97. Which is linear?
(a)
(b)
(c)
(d) none
98. Linear equation graph cuts axes at
(a) intercepts
(b) points
(c) origin
(d) none
99. Equation x=5 cuts x-axis at
(a) (5,0)
(b) (0,5)
(c) (5,5)
(d) none
100. Equation y=4 cuts y-axis at
(a) (0,4)
(b) (4,0)
(c) (4,4)
(d) none
✅ ANSWERS (1–100)
1(c), 2(b), 3(c), 4(a), 5(b), 6(b), 7(d), 8(b), 9(b), 10(a)
11(c), 12(a), 13(b), 14(b), 15(c), 16(a), 17(b), 18(a), 19(b), 20(a)
21(a), 22(c), 23(c), 24(b), 25(a), 26(a), 27(a), 28(b), 29(d), 30(b)
31(b), 32(c), 33(c), 34(a), 35(b), 36(a), 37(c), 38(b), 39(a), 40(b)
41(a), 42(b), 43(a), 44(b), 45(a), 46(a), 47(a), 48(a), 49(c), 50(a)
51(a), 52(a), 53(a), 54(a), 55(c), 56(d), 57(b), 58(a), 59(a), 60(a)
61(a), 62(b), 63(a), 64(a), 65(a), 66(a), 67(a), 68(a), 69(b), 70(a)
71(a), 72(a), 73(a), 74(a), 75(a), 76(a), 77(a), 78(b), 79(d), 80(a)
81(b), 82(a), 83(a), 84(a), 85(a), 86(b), 87(a), 88(a), 89(a), 90(a)
91(a), 92(b), 93(b), 94(a), 95(a), 96(a), 97(a), 98(a), 99(a), 100(a)
If you want to strengthen your preparation further, don’t miss our chapter-wise MCQ collections. You can practice Number System MCQs Class 9, Polynomials MCQs Class 9, and Sequences and Progressions MCQs Class 9 to build a strong foundation in Mathematics. These posts include exam-oriented questions based on the latest CBSE pattern.
❓ FAQs (SEO Boost + Rich Snippets)
❓1. How many MCQs should I practice for Linear Equations Class 9?
You should practice at least 50–100 MCQs to understand all concepts clearly and improve speed.
❓2. Are these MCQs based on the latest CBSE syllabus?
Yes, all questions are prepared according to the latest CBSE 2026 pattern and updated syllabus.
❓3. Are MCQs important for Class 9 Maths exams?
Yes, MCQs help in quick revision, concept clarity, and are often asked in internal assessments and school exams.
❓4. What type of questions are included here?
This set includes concept-based, graph-based, and application-based MCQs from all topics of the chapter.
❓5. Can I use these MCQs for revision before exams?
Absolutely! These MCQs are perfect for last-minute revision and practice.