SEBA Class 9 Maths Linear Equations in Two Variables MCQs (2026–27) – Assam Eduverse
The SEBA Class 9 Maths Linear Equations in Two Variables MCQs are prepared as per the latest ASSEB syllabus and follow the exam pattern of the current academic session. These SEBA Class 9 Maths Linear Equations in Two Variables MCQs include conceptual, algebra-based, and graph-related questions designed to support effective exam preparation. Students can also explore important maths MCQs chapter-wise for additional practice.
Prepared by subject experts of Assam Eduverse, this collection focuses on key topics such as the concept and standard form of linear equations, graphical representation, solutions in two variables, and real-life applications. Practicing linear equations in two variables mcqs class 9 seba along with chapterwise MCQs and question answers helps strengthen algebraic understanding and logical reasoning.
Consistent revision of these ASSEB class 9 maths important MCQs enhances conceptual clarity and builds confidence for the board examination. Students can also refer to complete Class 9 study materials for well-rounded preparation.
SEBA Class 9 Maths Linear Equations in Two Variables MCQs – ASSEB Board Exam Practice
Table of Contents
Q1. The solution of the equation x – 2y = 4 is:
(a) (0, 2)
(b) (4, 0)
(c) (1, 1)
(d) (2, 0)
Answer: (b) (4, 0)
Substitute each option in x – 2y = 4.
For (4, 0): 4 – 2(0) = 4 ✔
So, (4, 0) satisfies the equation.
Q2. In graphical representation of y = –4, line is:
(a) parallel to x – axis
(b) parallel to y – axis
(c) passes through origin
(d) None of these
Answer: (a) parallel to x – axis
y = –4 means y is constant.
A line with constant y is parallel to x-axis.
Q3. Solution of the equation 2x + 1 = x + 3 is:
(a) 3
(b) 1
(c) 2
(d) 4
Answer: (c) 2
2x + 1 = x + 3
2x – x = 3 – 1
x = 2
Q4. The graph of line x – y = 0 passes through:
(a) (2, 3)
(b) (3, 4)
(c) (5, 6)
(d) (0, 0)
Answer: (d) (0, 0)
x – y = 0 ⇒ x = y
At (0, 0), 0 – 0 = 0 ✔
So it passes through (0, 0).
Q5. The graph of line x + y = 7 intersect the x-axis at:
(a) (7, 0)
(b) (0, 7)
(c) (–7, 0)
(d) (0, –7)
Answer: (a) (7, 0)
On x-axis, y = 0.
x + 0 = 7 ⇒ x = 7
So, point is (7, 0).
Q6. Point (4, 1) lies on the line:
(a) x + 2y = 5
(b) x + 2y = –6
(c) x + 2y = 6
(d) x + 2y = 16
Answer: (a) x + 2y = 5
Substitute (4,1):
x + 2y = 4 + 2(1) = 6
So correct equation is x + 2y = 6.
Hence option (c).
Q7. Graph of x = 2 is a line:
(a) parallel to x – axis
(b) parallel to y – axis
(c) passes through origin
(d) None of these
Answer: (b) parallel to y – axis
x = 2 means x is constant.
A line with constant x is parallel to y-axis.
Q8. The linear equation 2x – 5y = 7 has:
(a) a unique solution
(b) two solutions
(c) infinitely many solutions
(d) no solutions
Answer: (c) infinitely many solutions
A linear equation in two variables represents a line.
A line has infinitely many points.
So, infinitely many solutions.
Q9. The equation 2x + 5y = 7 has a unique solution, if x, y are:
(a) natural numbers
(b) positive numbers
(c) real numbers
(d) rational numbers
Answer: (a) natural numbers
In real or rational numbers, equation has infinitely many solutions.
In natural numbers, only one pair (1,1) satisfies:
2(1) + 5(1) = 7
So unique solution in natural numbers.
Q10. 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
Answer: (a) 4
Substitute (2,0):
2(2) + 3(0) = 4
So, k = 4.
Q11. Any solution of the linear equation 2x + 0y + 9 = 0 in two variables is of the form:
(a) (–9/2, m)
(b) (n, –9/2)
(c) (0, –9/2)
(d) (–9, 0)
Answer: (a) (–9/2, m)
2x + 9 = 0
2x = –9
x = –9/2
y can be any value (m).
So solution is (–9/2, m).
Q12. 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)
Answer: (d) (0, 2)
On y-axis, x = 0.
2(0) + 3y = 6
3y = 6
y = 2
So point is (0, 2).
Q13. The equation x = 7, in two variables, can be written as:
(a) x + 0y = 7
(b) 0x + y = 7
(c) 0x + 0y = 7
(d) x + y = 7
Answer: (a) x + 0y = 7
x = 7 can be written as x + 0y = 7.
Q14. Any point on the x – axis is of the form:
(a) (x, y)
(b) (0, y)
(c) (x, 0)
(d) (x, x)
Answer: (c) (x, 0)
On x-axis, y = 0.
So any point is (x, 0).
Q15. Any point on the y = x is of the form:
(a) (a, a)
(b) (0, a)
(c) (a, 0)
(d) (a, –a)
Answer: (a) (a, a)
On the line y = x, the value of y is equal to x.
So any point will be of the form (a, a).
Q16. The equation of x – axis is of the form:
(a) x = 0
(b) y = 0
(c) x + y = 0
(d) x = y
Answer: (b) y = 0
On the x-axis, the y-coordinate is always 0.
So its equation is y = 0.
Q17. Graph of y = 6 is a line:
(a) parallel to x – axis at a distance 6 units from the origin
(b) parallel to y – axis at a distance 6 units from the origin
(c) making an intercept 6 on the x–axis
(d) making an intercept 6 on both the axes
Answer: (a) parallel to x – axis at a distance 6 units from the origin
y = 6 means y is constant.
So the line is parallel to x-axis.
It is 6 units above the origin.
Q18. x = 5, y = 2 is a solution of the linear equation:
(a) x + 2y = 7
(b) 5x + 2y = 7
(c) x + y = 7
(d) 5x + y = 7
Answer: (a) x + 2y = 7
Substitute x = 5, y = 2:
x + 2y = 5 + 2(2) = 5 + 4 = 9 (not 7) ✖
5x + 2y = 25 + 4 = 29 ✖
x + y = 5 + 2 = 7 ✔
So correct answer is (c).
Q19. If a linear equation has solutions (–2, 2), (0, 0) and (2, –2), then it is of the form:
(a) y – x = 0
(b) x + y = 0
(c) –2x + y = 0
(d) –x + 2y = 0
Answer: (b) x + y = 0
For (–2, 2): –2 + 2 = 0 ✔
For (0, 0): 0 + 0 = 0 ✔
For (2, –2): 2 – 2 = 0 ✔
So equation is x + y = 0.
Q20. 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
Answer: (a) 1st quadrant
Positive solutions mean x > 0 and y > 0.
Such points lie in the first quadrant.
Q21. The graph of the linear equation 2x + 3y = 6 is a line which meets the x–axis at the point:
(a) (2, 0)
(b) (0, 3)
(c) (3, 0)
(d) (0, 2)
Answer: (c) (3, 0)
On x-axis, y = 0.
2x + 3(0) = 6
2x = 6
x = 3
So point is (3, 0).
Q22. The graph of y = x passes through the point:
(a) (3/2, –3/2)
(b) (0, 3/2)
(c) (1, 1)
(d) (–1/2, 1/2)
Answer: (c) (1, 1)
On y = x, y must equal x.
Only (1, 1) satisfies this condition.
Q23. If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:
(a) changes
(b) remains the same
(c) changes in case of multiplication only
(d) changes in case of division only
Answer: (b) remains the same
Multiplying or dividing both sides by a non-zero number
does not change the solution of the equation.
Q24. 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
Answer: (c) infinitely many
We can form infinitely many equations like:
x + y = 3, 2x + y = 4, x + 2y = 5, etc.
All are satisfied by (1, 2).
So infinitely many equations.
Q25. The point of the form (a, a) always lies on:
(a) x – axis
(b) y – axis
(c) on the line y = x
(d) on the x + y = 0
Answer: (c) on the line y = x
In (a, a), x = y.
So it lies on y = x.
Q26. The point of the form (a, –a) always lies on:
(a) x = a
(b) y = –a
(c) y = x
(d) x + y = 0
Answer: (d) x + y = 0
For point (a, –a):
x + y = a + (–a) = 0
So it lies on x + y = 0.
Q27. Which of the following is not a linear equation in two variables?
(a) ax + by = c
(b) ax² + by = c
(c) 2x + 3y = 5
(d) 3x + 2y = 6
Answer: (b) ax² + by = c
A linear equation has variables of degree 1 only.
In ax² + by = c, x has power 2.
So it is not a linear equation.
Q28. The graph of ax + by + c = 0 is:
(a) a straight line parallel to x–axis
(b) a straight line parallel to y–axis
(c) a general straight line
(d) a line in the 2nd and 3rd quadrant
Answer: (c) a general straight line
ax + by + c = 0 represents a straight line.
It is the general form of a linear equation in two variables.
Q29. The solution of a linear equation in two variables is:
(a) a number which satisfies the given equation
(b) an ordered pair which satisfies the given equation
(c) an ordered pair, whose respective values when substituted for x and y in the given equation, satisfies it
(d) none of these
Answer: (c) an ordered pair, whose respective values when substituted for x and y in the given equation, satisfies it
A solution must satisfy the equation when we substitute x and y.
So it must be an ordered pair (x, y) that makes the equation true.
Q30. One of the solution of a linear equation in two variables is:
(a) (3, 2)
(b) (3, –2)
(c) (2, 3)
(d) (–2, –3)
Answer: (a) (3, 2)
An ordered pair like (3, 2) is an example of a solution
for some linear equation in two variables.
Q31. The ordered pair (m, n) satisfies the equation ax + by + c = 0 if:
(a) am + bn = 0
(b) c = 0
(c) am + bn + c = 0
(d) am + bn – c = 0
Answer: (c) am + bn + c = 0
Substitute x = m and y = n in ax + by + c = 0:
am + bn + c = 0
So option (c) is correct.
Q32. The equation of x – axis is:
(a) a = 0
(b) y = 0
(c) x = 0
(d) y = k
Answer: (b) y = 0
On the x-axis, y-coordinate is always 0.
So its equation is y = 0.
Q33. From the graph of a line, we can find the coordinates of:
(a) only two points lying on the line
(b) only two points only lying on the line
(c) only finite number of points lying on the line
(d) only infinite number of points lying on the line
Answer: (d) only infinite number of points lying on the line
A straight line contains infinitely many points.
So we can find infinitely many coordinates from its graph.
Q34. A linear equation in two variables has:
(a) no solution
(b) only one solution
(c) only two solutions
(d) infinitely many solutions
Answer: (d) infinitely many solutions
A linear equation in two variables represents a straight line.
A straight line has infinitely many points.
So it has infinitely many solutions.
Q35. An equation of the form ax + by + c = 0 represents a linear equation in two variables, if:
(a) a = 0, b ≠ 0
(b) a ≠ 0, b = 0
(c) a = 0, b = 0
(d) a ≠ 0, b ≠ 0
Answer: (d) a ≠ 0, b ≠ 0
For ax + by + c = 0 to represent a linear equation in two variables,
both coefficients of x and y should not be zero simultaneously.
So a ≠ 0 and b ≠ 0.
Q36. The graph of the linear equation in two variables y = mx is:
(a) a line parallel to x – axis
(b) a line parallel to y – axis
(c) a line passing through the origin
(d) not a straight line
Answer: (c) a line passing through the origin
In y = mx, when x = 0, y = 0.
So the line passes through the origin.
It is a straight line.
SEBA Class 9 Maths Linear Equations in Two Variables MCQs – Important Objective Questions
A clear understanding of Linear Equations in Two Variables is important for developing strong algebraic and graphical concepts in Mathematics. Practicing MCQs based on the latest SEBA (ASSEB) syllabus helps students strengthen their fundamentals while becoming familiar with the pattern of objective questions asked in examinations.
These SEBA Class 9 Maths Linear Equations in Two Variables MCQs focus on key topics such as standard form of linear equations, solutions of equations, graphical representation, and interpretation of graphs. Since this chapter combines both algebra and coordinate geometry concepts, regular practice helps students build clarity and avoid common mistakes.
Solving such important objective questions for Class 9 Maths improves logical reasoning and helps students understand how equations represent relationships between variables. It also strengthens graph-reading skills, which are essential for answering both objective and descriptive questions.
Consistent practice enhances accuracy, speed, and confidence, enabling students to solve questions more effectively during exams. It also supports quick revision and helps in better time management, especially before tests and final assessments.
To achieve better results in school exams and board-based assessments, students should regularly revise and practice these MCQs. With a strong conceptual base and continuous practice, this chapter becomes easier to understand and score well in.
FAQs – SEBA Class 9 Maths Linear Equations in Two Variables MCQs
1. How many MCQs come from Linear Equations in Two Variables in SEBA Class 9 exam?
Around 4–6 MCQs usually come from this chapter, out of 45 total MCQs. Focus on graph basics and solution pairs to score easily.
2. Where can I download SEBA Class 9 Linear Equations MCQs with answers PDF?
You can download chapter-wise MCQs from Assam Eduverse and similar sites. Always choose solved PDFs so you understand the logic, not just answers.
3. Are Linear Equations in Two Variables MCQs difficult for SEBA students?
No, most MCQs are easy if you understand basic concepts. Practice identifying solutions and graphs; that’s where most questions come from.
4. What are the most important MCQs from Linear Equations in Two Variables for exam?
Important MCQs include solution verification, graph interpretation, and identifying linear equations. Practice previous year questions for better exam confidence.
5. How to prepare fast for Linear Equations MCQs in Class 9 SEBA?
Start with concepts, then solve 20–30 MCQs daily. Assam Eduverse practice sets are helpful for quick revision before exams.
6. Do questions repeat from previous year MCQs in SEBA Class 9 Maths?
Yes, similar patterns repeat often. Practice previous papers and MCQs to recognize question types and save time during the exam.
🎓 About Assam Eduverse
Assam Eduverse is a dedicated learning platform committed to providing high-quality academic resources for students affiliated with SEBA, AHSEC (ASSEB), SCERT, and CBSE.
We provide chapter-wise notes, detailed solutions, MCQs, important questions, and previous year papers for Classes 9 to 12. All content is carefully curated in alignment with the latest Assam Board syllabus and reflects current examination patterns.
Our resources are designed to simplify complex concepts, encourage consistent practice, and help students achieve better results in their board examinations. Materials are available in both Assamese and English mediums to cater to diverse learning preferences.
Discover MCQs, study materials, solutions, and exam preparation guides to enhance your preparation and strengthen your revision strategy.