# MCQ Questions | Class 9 Maths Chapter 4 | Linear Equations for Two Variables with Answers

## MCQ | Linear Equations for Two Variables Class 9

Check the below NCERT MCQ Questions for Class 9 Maths Chapter 4 Linear Equations for Two Variables with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have Provided Linear Equations for Two Variables Class 9 Maths MCQs Questions with Answers to help students understand the concept very well.

### Objective Question | NCERT Maths Class 9

Book: National Council of Educational Research and Training (NCERT) Central Board of Secondary Education (CBSE) 9th Maths 4 Part-2 Linear Equations for Two Variables English

#### Ncert Solutions for Class 9 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations for Two Variables to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.
##### Linear Equations for Two Variables | Class 9 Maths | NCERT Solutions
 Q1. class 9 ncert maths Linear Equations for Two Variables pdfThe graph of the equation 2x + 3y = 6 cuts the x-axis at the point A. (0, 3) B. (3, 0) C. (2, 0) D. (0, 2)
Ans: (3, 0)

 Q2. class 9 ncert maths solutionsGraph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points. A. ($$\frac{-c}{a}$$, 0), (0, $$\frac{-c}{b}$$) B. (0, $$\frac{-c}{b}$$, 0), ($$\frac{-c}{a}$$, 0) C. (-c, 0) (0, -c) D. (x, 0) (y, 0)
Ans: ($$\frac{-c}{a}$$, 0), (0, $$\frac{-c}{b}$$)

 Q3. class 9 ncert maths solutions chapter 4 If the line represented by the equation 3x + ay = 8 passes through the points (2,2), then the value of a is A. 0 B. 4 C. 3 D. 1
Ans: 1
 Q4. mcq for class 9 maths chapter 4 If x = a, y = b is the solution of the pair of equation x-y = 2 and x+y = 4 then what will be value of a and b A. 2,1 B. 3,1 C. 4,6 D. 1,2
Ans: 3,1
 Q5. mcq for class 9 maths Linear Equations for Two Variables The solution of the equation x + y = 3, 3x – 2y = 4 is : A. x = 2, y = 1 B. x = 1, y = 2 C. x = –2, y = 1 D. x = –2, y = –1
Ans: x = 2, y = 1
 Q6. mcq questions for class 9 maths chapter 4 The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is A. 7 B. -7 C. 6 D. 5
Ans: 7
 Q7. mcq questions for class 9 maths ncert chapter 4 If x and y are both positive solutions of equation ax+by+c=0, always lie in: A. First quadrant B. Second quadrant C. Third quadrant D. Fourth quadrant
 Q8. mcq questions for class 9 maths Linear Equations for Two Variables with answers The linear equation 4x – 10y = 14 has: A. A unique solution B. Two solutions C. Infinitely many solutions D. No solutions
Ans: Infinitely many solutions
 Q9. mcq questions for class 9 maths Linear Equations for Two Variables with answers pdfWhich of the following ordered pairs is a solution of the equation x – 2y – 6? A. (2, 4) B. (0, 3) C. (-4, 1) D. (4, -1)
Ans: (4, -1)

 Q10. mcq questions for class 9 maths with answers pdfHow 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
Ans: infinitely many

 Q11. ncert maths class 9 chapter 4Solution of linear equation 2x + 0.y + 9 = 0 is A. ($$\frac{9}{2}$$, m) B. (n, $$\frac{-9}{2}$$) C. (0, $$\frac{-9}{2}$$) D. ($$\frac{-9}{2}$$, 0)
Ans: ($$\frac{-9}{2}$$, 0)

 Q12. ncert maths class 9 chapter 4 exerciseIf (3, 2) is the solution 3x – ky = 5, then k equals of the equation A. 2 B. 4 C. 3 D. $$\frac{1}{2}$$
Ans: 2

 Q13. ncert maths class 9 chapter 4 examplesCost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation. A. x – 2y – 10 = 0 B. 2x – y – 10 = 0 C. 2x + y – 10 = 0 D. x – 2y + 10 = 0
Ans: x – 2y – 10 = 0

 Q14. ncert maths class 9 exercise in englishIf x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is A. 6x + y = 5 B. x = 6y + 5 C. x + 6y = 5 D. x – 6 = 5
Ans: x = 6y + 5

 Q15. ncert maths class 9 pdf Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation. A. x – 2y – 10 = 0 B. 2x – y – 10 = 0 C. 2x + y – 10 = 0 D. x – 2y + 10 = 0
Ans: x – 2y – 10 = 0
 Q16. ncert maths class 9 solutions The graph of x = 3 is a line: A. Parallel to x-axis at a distance of 3 units from the origin B. Parallel to y-axis at a distance of 3 units from the origin C. Makes an intercept 3 on x-axis D. Makes an intercept 3 on y-axis
Ans: Parallel to y-axis at a distance of 3 units from the origin
 Q17. ncert maths class 9 textbookEquation of a line passing through origin is A. x + y = 1 B. x = 2y – 4 C. x + y = 0 D. y = x – 1
Ans: x + y = 0

 Q18. ncert maths class 9 textbook pdf downloadThe condition that the equation ax + by + c = 0 represents a linear equation in two variables is A. a ? 0, b = 0 B. b ? 0, a = 0 C. a = 0, b = 0 D. a ? 0, b ? 0
Ans: a ? 0, b ? 0

 Q19. cbse maths class 9 bookThe maximum number of points that lie on the graph of a linear equation in two variables is. A. two B. definite C. infinitely many D. three
Ans: infinitely many

 Q20. cbse maths class 9 chapter 4Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation A. y – x B. x + y = 0 C. y = 2x D. 2 + 3y = 7x
Ans: x + y = 0