Class 9 Maths Chapter 13 MCQs with Answers – Two Variables, One Line

Class 9 Maths Chapter 13 MCQs

15 MCQs for Class 9 Maths Chapter 13 – Two Variables, One Line

Question 1. Which of the following is a linear equation in two variables?

A. x² + y = 5

B. 2x + 3y = 7

C. xy = 12

D. x³ + y = 4

Question 2. Which ordered pair satisfies x + y = 5?

A. (1, 2)

B. (2, 3)

C. (4, 4)

D. (5, 5)

Question 3. If x = 2 in the equation x + y = 7, what is y?

A. 3

B. 4

C. 5

D. 9

Question 4. Which point lies on the line y = 2x?

A. (1, 2)

B. (2, 1)

C. (1, 3)

D. (0, 2)

Question 5. How many solutions does a linear equation in two variables generally have?

A. No solutions in every case

B. Exactly one solution in every case

C. Exactly two solutions

D. Infinitely many solutions

Question 6. Which ordered pair satisfies 2x + y = 8?

A. (1, 3)

B. (2, 4)

C. (3, 3)

D. (4, 1)

Question 7. What is the y-coordinate of a point on the x-axis?

A. 0

B. 1

C. −1

D. It can never be zero

Question 8. Which point lies on the y-axis?

A. (3, 0)

B. (0, 4)

C. (2, 2)

D. (5, 1)

Question 9. If y = 3x + 1 and x = 2, find y.

A. 5

B. 6

C. 7

D. 8

Question 10. Which equation represents a straight line?

A. x² + y² = 9

B. xy = 6

C. 2x − y = 4

D. y² = x

Question 11. Does the point (0, 5) satisfy the equation x + y = 5?

A. Yes

B. No

C. Only if x = 5

D. Cannot be determined

Question 12. Which ordered pair is a solution of y = x + 2?

A. (1, 1)

B. (2, 4)

C. (3, 4)

D. (4, 1)

Question 13. If 2x + y = 10 and x = 3, what is y?

A. 2

B. 3

C. 4

D. 5

Question 14. The graph of a linear equation in two variables is generally:

A. A circle

B. A straight line

C. A triangle

D. A parabola

Question 15. Which point satisfies y = 4?

A. (4, 0)

B. (0, 4)

C. (4, 4) only

D. (0, 0)

Answer Key – Class 9 Maths Chapter 13 MCQs

Answer Key with Explanations – Chapter 13

1 — B. 2x + 3y = 7. Both variables have degree 1, so this is a linear equation in two variables.

2 — B. (2, 3). Substitute x = 2 and y = 3: 2 + 3 = 5.

3 — C. 5. Substitute x = 2: 2 + y = 7, so y = 5.

4 — A. (1, 2). For x = 1, y = 2x = 2.

5 — D. Infinitely many solutions. A linear equation in two variables generally has infinitely many ordered-pair solutions over the real numbers.

6 — B. (2, 4). Substituting gives 2(2) + 4 = 8.

7 — A. 0. Every point on the x-axis has a y-coordinate of zero.

8 — B. (0, 4). Points on the y-axis have an x-coordinate of zero.

9 — C. 7. y = 3(2) + 1 = 7.

10 — C. 2x − y = 4. This is a first-degree equation in x and y.

11 — A. Yes. Substituting (0, 5) gives 0 + 5 = 5.

12 — B. (2, 4). For x = 2, y = 2 + 2 = 4.

13 — C. 4. 2(3) + y = 10, so y = 4.

14 — B. A straight line. The graph of a linear equation in two variables is a straight line.

15 — B. (0, 4). The point has y-coordinate 4, so it satisfies y = 4. Note that (4, 4) also satisfies the equation, but it is not the only such point.

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Class 9 Maths · Chapter 13

• Practise linear equations in two variables.
• Check ordered pairs and solutions.
• Revise graph-related concepts.
• Download the worksheet PDF and check your answers.