NCERT Chapter 4 MCQs – Solutions of Linear Equations & Interpretation of Graphs
NCERT Chapter 4 MCQs – Solutions of Linear Equations & Interpretation of Graphs
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 according to the CBSE Class 9 Mathematics syllabus and NCERT textbook. Ideal for school exams and board preparation.
1. A solution of a linear equation in two variables is:
Answer: B. An ordered pair (x, y)
A solution is a pair of values that satisfies the equation when substituted.
A solution is a pair of values that satisfies the equation when substituted.
2. The equation x + y = 5 has:
Answer: C. Infinite solutions
There are infinitely many ordered pairs whose sum is 5.
There are infinitely many ordered pairs whose sum is 5.
3. The point (2,3) lies on graph of x + y = 5 because:
Answer: A. 2 + 3 = 5
Substituting x=2 and y=3 satisfies the equation.
Substituting x=2 and y=3 satisfies the equation.
4. The graphical representation of linear equation is a:
Answer: B. Straight line
All linear equations form straight lines.
All linear equations form straight lines.
5. If (0,4) lies on graph, equation may be:
Answer: A. y=4
When x=0 and y=4, equation y=4 is satisfied.
When x=0 and y=4, equation y=4 is satisfied.
6. To check if a point is solution, we:
Answer: B. Substitute values
Substitute x and y into equation to verify.
Substitute x and y into equation to verify.
7. Equation 2x + y = 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 equation cuts Y-axis at:
Answer: A. (0,6)
Put x=0 → y=6.
Put x=0 → y=6.
9. If line passes through origin, equation is of form:
Answer: A. y=mx
When constant term is zero, line passes through origin.
When constant term is zero, line passes through origin.
10. A point on line is called:
Answer: B. Solution
Every point satisfying equation is solution.
Every point satisfying equation is solution.
11. Infinite solutions form:
Answer: B. Line
All solutions lie on straight line.
All solutions lie on straight line.
12. If x=2 satisfies equation, it means:
Answer: C.
There exists corresponding y making equation true.
There exists corresponding y making equation true.
13. Interpretation of graph helps to:
Answer: B.
Graph shows all solution points.
Graph shows all solution points.
14. If equation has no constant term, line:
Answer: A.
Constant term zero implies origin satisfies equation.
Constant term zero implies origin satisfies equation.
15. Graph method mainly shows:
Answer: B.
Entire line represents infinite solutions.
Entire line represents infinite solutions.
16. If equation is y=3, graph is:
Answer: B.
Constant y forms horizontal line.
Constant y forms horizontal line.
17. If equation is x=5, graph is:
Answer: B.
Constant x forms vertical line.
Constant x forms vertical line.
18. Each ordered pair on graph satisfies equation:
Answer: A.
Every point on line is solution.
Every point on line is solution.
19. Equation y = –x represents line:
Answer: A.
At x=0, y=0; passes through origin.
At x=0, y=0; passes through origin.
20. Interpretation of graph helps understand:
Answer: A.
Graph shows how x and y vary together.
Graph shows how x and y vary together.
