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

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 9 Mathematics book Chapter 4 Linear Equations for Two Variables with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam, Taking the help of the Class 9 Mathematics Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Linear Equations for Two Variables. Each Questions has four options followed by the right answer. Download the Mathematics Quiz Questions with Answers for Class 9 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 9 Mathematics with Answers

Q1. Solutions of the equation 2x + 5y = 0 is:

(i) 3,0
(ii) -3,2
(iii) 0,0
(iv) 0,4

(iii) 0,0

Q2. 3x+10 = 0 will has:

(i) Unique solution
(ii) Two solutions
(iii) Infinitely many solutions
(iv) No solutions

(i) Unique solution

Q3. Equation of a line which is 5 units distance above the x-axis is

(i) x = 5
(ii) x + 5 = y
(iii) y – 5
(iv) x – y = 0

(iii) y – 5

Q4. The graph of linear equation x+2y = 2, cuts the y-axis at:

(i) (2,0)
(ii) (0,2)
(iii) (0,1)
(iv) (1,1)

(iii) (0,1)

Q5. The straight line passing through the points (0, 0), (–1, 1) and (1, – 1) has the equation :

(i) 2 – x = 3y
(ii) y = x
(iii) 2x – y = 0
(iv) x + y = 0

(iv) x + y = 0

Q6. The equation of a line parallel to x-axis and 3 units above the origin is

(i) x = -3
(ii) x = 3
(iii) y = -3
(iv) y = 3

(iv) y = 3

Q7. The solution of equation x-2y = 4 is:

(i) (0,2)
(ii) (2,0)
(iii) (4,0)
(iv) (1,1)

(iii) (4,0)

Q8. Which of the following is the equation of a line parallel to y-axis?

(i) y = 0
(ii) x + y = z
(iii) y = x
(iv) x = a

(iv) x = a

Q9. The straight line passing through the points (0, 0), (–1, 1) and (1, – 1) has the equation :

(i) 2 – x = 3y
(ii) y = x
(iii) 2x – y = 0
(iv) x + y = 0

(iv) x + y = 0

Q10. If x = 1,y = 1 is a solution of equation 9ax + 12ay = 63 then, the value of a is :

(i) – 3
(ii) 3
(iii) 7
(iv) 5

(ii) 3

Q11. y = 0 is the equation of

(i) a line parallel to x-axis
(ii) a line parallel to y-axis
(iii) x-axis
(iv) y-axis

(ii) a line parallel to y-axis

Q12. Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:

(i) 4/3
(ii) 5/3
(iii) 3
(iv) 7/3

(ii) 5/3

Q13. Any point of the form (a, – a) always lie on the graph of the equation

(i) x = -a
(ii) y = a
(iii) y = x
(iv) x + y = 0

(iv) x + y = 0

Q14. For the equation 5x – 7y = 35, if y = 5, then the value of ‘x’ is

(i) -12
(ii) -14
(ii) 14
(iv) 12

(iii) 14

Q15. x = 2, y = – 1 is a solution of the line equal to :

(i) 2x + 3y = 5
(ii) x + y = 5
(iii) x + y = 1
(iv) x – y = 9

(iii) x + y = 1

Q16. Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.

(i) 20
(ii) 50
(iii) 60
(iv) 40

(ii) 50

Q17. Any point on the line x = y is of the form:

(i) (k, -k)
(ii) (0, k)
(iii) (k, 0)
(iv) (k, k)

(iv) (k, k)

Q18. Which of the following ordered pairs is a solution of the equation x – 2y – 6?

(i) (2, 4)
(ii) (0, 3)
(iii) (-4, 1)
(iv) (4, -1)

(iv) (4, -1)

Q19. The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is:

(i) 6
(ii) 5
(iii) 7
(iv) -7

(iii) 7

Q20. For two lines 2x + y = 1 and x – y = 2 if the x coordinate of the common point is 1 what is the y coordinate?

(i) -1
(ii) 2
(iii) -2
(iv) 3

(i) -1

Q21. If the line represented by the equation 3x + αy = 8 passes through the points (2,2), then the value of α is

(i) 0
(ii) 4
(iii) 3
(iv) 1

(iv) 1

Q22. If x and y are both positive solutions of equation ax+by+c=0, always lie in:

(i) First quadrant
(ii) Second quadrant
(iii) Third quadrant
(iv) Fourth quadrant

(i) First quadrant

Q23. If 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

(i) 6x + y = 5
(ii) x = 6y + 5
(iii) x + 6y = 5
(iv) x – 6 = 5

(ii) x = 6y + 5

Q24. If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:

(i) 4
(ii) 6
(iii) 5
(iv) 2

(i) 4

Q25. Geeta’s age is 3 years more than thrice m, the age of Meeta. Write an equation of first degree to display this information.

(i) g + 3 = 3m
(ii) g – 3 = 3m
(iii) g + 3m + 3 = 0
(iv) g – 3m + 3 = 0

(ii) g – 3 = 3m

Q26. The linear equation 4x – 10y = 14 has:

(i) A unique solution
(ii) Two solutions
(iii) Infinitely many solutions
(iv) No solutions

(iii) Infinitely many solutions

Q27. If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:

(i) 4
(ii) 6
(iii) 5
(iv) 2

(i) 4

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MCQ Questions for Class 9 Mathematicss with Answers

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