CBSE Class 9 Linear Equations MCQs – Forming and Solving Equations in Two Variables
CBSE Class 9 Linear Equations MCQs – Forming and Solving Equations in Two Variables
Class: 9 | Subject: Mathematics | Chapter: 4 – Linear Equations in Two Variables
Board: CBSE | Based on Latest NCERT Curriculum
Board: CBSE | Based on Latest NCERT Curriculum
These Multiple Choice Questions (MCQs) are strictly based on the CBSE Class 9 Mathematics syllabus and NCERT textbook guidelines. Ideal for board exam preparation.
1. The general form of a linear equation in two variables is:
Answer: A. ax + by + c = 0
A linear equation in two variables has degree 1 in both x and y.
A linear equation in two variables has degree 1 in both x and y.
2. The equation 2x + 3y = 6 represents:
Answer: B. A straight line
Every linear equation in two variables represents a straight line.
Every linear equation in two variables represents a straight line.
3. Which of the following is a solution of x + y = 5?
Answer: A. (2,3)
2 + 3 = 5, so it satisfies the equation.
2 + 3 = 5, so it satisfies the equation.
4. The equation x − y = 2 has:
Answer: C. Infinitely many solutions
A linear equation in two variables has infinitely many ordered pair solutions.
A linear equation in two variables has infinitely many ordered pair solutions.
5. If y = 2 and equation is x + y = 7, then x equals:
Answer: C. 5
Substitute y = 2 → x + 2 = 7 → x = 5.
Substitute y = 2 → x + 2 = 7 → x = 5.
6. Which is NOT a linear equation?
Answer: B. x² + y = 5
Presence of x² makes it non-linear.
Presence of x² makes it non-linear.
7. The graph of 3x = 6 is:
Answer: B. Vertical line
3x=6 → x=2, which is a vertical line.
3x=6 → x=2, which is a vertical line.
8. The graph of y = 4 is:
Answer: B. Horizontal line
y=4 means constant y-value → horizontal line.
y=4 means constant y-value → horizontal line.
9. If x = 0 in 2x + y = 8, y equals:
Answer: A. 8
Substitute x=0 → y=8.
Substitute x=0 → y=8.
10. The pair (3,1) satisfies which equation?
Answer: D. All of these
Check each: 3+1=4, 3−1=2(not 1) Correction: Only A satisfies.
Correct Answer: A. x+y=4.
Check each: 3+1=4, 3−1=2(not 1) Correction: Only A satisfies.
Correct Answer: A. x+y=4.
11. A linear equation in two variables has degree:
Answer: B. 1
Highest power is 1.
Highest power is 1.
12. 5x − 2y = 10 cuts y-axis at:
Answer: A. (0,−5)
Put x=0 → −2y=10 → y=−5.
Put x=0 → −2y=10 → y=−5.
13. The graph of linear equation always forms:
Answer: B. Line
Linear means straight line.
Linear means straight line.
14. If y = 0, equation 4x + y = 12 gives:
Answer: A. x=3
4x=12 → x=3.
4x=12 → x=3.
15. Number of solutions of linear equation in two variables is:
Answer: C. Infinite
Every point on line is a solution.
Every point on line is a solution.
16. Which ordered pair satisfies 2x + y = 7?
Answer: A. (2,3)
2(2)+3=7.
2(2)+3=7.
17. If x = 1 in x − 2y = 5, y equals:
Answer: D. −2
1−2y=5 → −2y=4 → y=−2.
1−2y=5 → −2y=4 → y=−2.
18. Linear equation can be solved by:
Answer: D. All of these
All methods are valid for Class 9 level.
All methods are valid for Class 9 level.
19. If equation passes through origin, constant term is:
Answer: C. 0
At origin (0,0), equation must satisfy → constant=0.
At origin (0,0), equation must satisfy → constant=0.
20. The equation y = 3x represents:
Answer: B. Line through origin
When constant term is 0, line passes through origin.
When constant term is 0, line passes through origin.
