Class 9 Maths MCQs – Graphical Representation of Linear Equations
Class 9 Maths MCQs – Graphical Representation of Linear Equations
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 MCQs are strictly designed as per the CBSE Class 9 Mathematics syllabus and NCERT guidelines. Ideal for board examination preparation.
1. The graph of a linear equation in two variables is always a:
Answer: C. Straight line
Every linear equation in two variables represents a straight line on the coordinate plane.
Every linear equation in two variables represents a straight line on the coordinate plane.
2. The equation x = 3 represents:
Answer: B. Vertical line
Since x is constant, the graph is a vertical line parallel to Y-axis.
Since x is constant, the graph is a vertical line parallel to Y-axis.
3. The equation y = –2 represents:
Answer: B. Horizontal line
If y is constant, the graph is parallel to X-axis.
If y is constant, the graph is parallel to X-axis.
4. To draw the graph of 2x + y = 4, minimum number of points required is:
Answer: B. 2
Two distinct points are enough to draw a straight line.
Two distinct points are enough to draw a straight line.
5. If a line passes through origin, the constant term in equation ax + by + c = 0 is:
Answer: C. 0
For origin (0,0) to satisfy equation, c must be zero.
For origin (0,0) to satisfy equation, c must be zero.
6. The graph of y = 3x passes through:
Answer: D. All of these
Substituting x values gives corresponding y values; hence all points lie on the line.
Substituting x values gives corresponding y values; hence all points lie on the line.
7. The line 2x + 3y = 6 cuts X-axis at:
Answer: A. (3,0)
Put y=0 → 2x=6 → x=3.
Put y=0 → 2x=6 → x=3.
8. The same line cuts Y-axis at:
Answer: A. (0,2)
Put x=0 → 3y=6 → y=2.
Put x=0 → 3y=6 → y=2.
9. A solution of linear equation corresponds to:
Answer: C. All points on the line
Every ordered pair on the line satisfies the equation.
Every ordered pair on the line satisfies the equation.
10. The graph of x + y = 0 passes through:
Answer: B. (1,–1)
1 + (–1) = 0 satisfies the equation.
1 + (–1) = 0 satisfies the equation.
11. If two equations represent same line, they have:
Answer: A. Same solutions
Equivalent equations represent same straight line.
Equivalent equations represent same straight line.
12. Graph of 4x = 8 is:
Answer: A. x = 2
4x=8 → x=2 (vertical line).
4x=8 → x=2 (vertical line).
13. Which equation passes through (0,5)?
Answer: A. y=5
Point (0,5) lies on horizontal line y=5.
Point (0,5) lies on horizontal line y=5.
14. Graph method helps to find:
Answer: B. Solutions
Each plotted point satisfying equation is a solution.
Each plotted point satisfying equation is a solution.
15. The slope of y = 2x is:
Answer: B. 2
Coefficient of x gives slope in form y=mx.
Coefficient of x gives slope in form y=mx.
16. Equation y = 0 represents:
Answer: A. X-axis
All points where y=0 lie on X-axis.
All points where y=0 lie on X-axis.
17. If graph is parallel to Y-axis, equation is of form:
Answer: B. x=c
Constant x gives vertical line.
Constant x gives vertical line.
18. Number of solutions visible on graph is:
Answer: B. Infinite
Every point on line is a solution.
Every point on line is a solution.
19. Graph of y = –x passes through:
Answer: B. (1,–1)
y = –x → substitute x=1 gives y=–1.
y = –x → substitute x=1 gives y=–1.
20. Graphical solution of linear equation gives:
Answer: A. Line
Graphical representation of linear equation forms a straight line.
Graphical representation of linear equation forms a straight line.
