MCQ Questions | Class 10 Maths Chapter 3 | Pair of Linear Equations in Two Variables with Answers

MCQ | Pair of Linear Equations in Two Variables Class 10 | Sat A
Check the below NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Pair of Linear Equations in Two Variables Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.
Objective Question | NCERT Maths Class 10
Book: | National Council of Educational Research and Training (NCERT) |
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Board: | Central Board of Secondary Education (CBSE) |
Class: | 10th |
Subject: | Maths |
Chapter: | 3 |
Chapters Name: | Pair of Linear Equations in Two Variables |
Medium: | English |
Ncert Solutions for Class 10 Maths | Objective Type Questions
You can refer to NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.
Pair of Linear Equations in Two Variables | Class 10 Maths | NCERT Solutions
Q1. | Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are |
A. intersecting at one point |
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B. parallel |
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C. intersecting at two points |
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D. coincident |
Ans: parallel
Q2. | The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have |
A. a unique solution |
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B. infinitely many solutions |
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C. no solution |
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D. two solutions |
Ans: no solution
Q3. | If a pair of linear equations is consistent, then the lines will be |
A. always coincident |
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B. parallel |
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C. always intersecting |
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D. intersecting or coincident |
Ans: intersecting or coincident
Q4. | The pair of equations x = 0 and x = 5 has |
A. no solution |
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B. unique/one solution |
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C. two solutions |
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D. infinitely many solutions |
Ans: two solutions
Q5. | The pair of equation x = – 4 and y = – 5 graphically represents lines which are |
A. intersecting at (- 5, – 4) |
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B. intersecting at (- 4, – 5) |
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C. intersecting at (5, 4) |
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D. intersecting at (4, 5) |
Ans: intersecting at (- 4, – 5)
Q6. | One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be |
A. 2x + 5y = 6 |
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B. 3x + 5y = 3 |
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C. -10x – 25y + 15 = 0 |
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D. 10x + 25y = 15 |
Ans: -1x – 25y + 15 =
Q7. | If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively |
A. 6, -1 |
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B. 2, 3 |
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C. 1, 4 |
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D. 19/5, 6/5 |
Ans: 19/5, 6/5
Q8. | The graph of x = -2 is a line parallel to the |
A. x-axis |
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B. y-axis |
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C. both x- and y-axis |
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D. none of these |
Ans: y-axis
Q9. | The graph of y = 4x is a line |
A. parallel to x-axis |
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B. parallel to y-axis |
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C. perpendicular to y-axis |
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D. passing through the origin |
Ans: passing through the origin
Q10. | The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have |
A. a unique solution |
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B. infinitely many solutions |
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C. no solution |
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D. two solutions |
Ans: no solution
Q11. | If A : Homogeneous system of linear equations is always consistent. R : x = 0, y = 0 is always a solution of the homogeneous system of equations with unknowns x and y, then which of the following statement is true? |
A. A is true and R is the correct explanation of A |
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B. A is false and R is not a correrct explanation of A |
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C. A is true and R is false |
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D. A is false and R is true |
Ans: A is true and R is the correct explanation of A
Q12. | How many solutions of the equation 15x – 14y + 11 = 0 are possible? |
A. 2 |
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B. No solution |
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C. 1 |
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D. Infinite |
Ans: Infinite
Q13. | The pair of equations x = 0 and x = 5 has |
A. no solution |
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B. unique/one solution |
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C. two solutions |
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D. infinitely many solutions |
Ans: two solutions
Q14. | Which of following is not a solution of 3a + b = 12? |
A. (3, 3) |
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B. (5, -3) |
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C. (4, 0) |
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D. (2, 4) |
Ans: (2, 4)
Q15. | he pair of linear equations 2kx + 5y = 7, 6x – 5y = 11 has a unique solution if – |
A. k = -3 |
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B. k = 3 |
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C. k = 5 |
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D. k = -5 |
Ans: k = -3
Q16. | The graph of y = 5 is a line parallel to the |
A. x-axis |
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B. y-axis |
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C. both axis |
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D. none of these |
Ans: x-axis
Q17. | Two equations in two variables taken together are called |
A. linear equations |
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B. quadratic equations |
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C. simultaneous equations |
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D. none of these |
Ans: simultaneous equations
Q18. | If am bl then the system of equations ax + by = c, lx + my = n, has |
A. a unique solution |
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B. no solution |
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C. infinitely many solutions |
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D. none of these |
Ans: a unique solution
Q19. | If in the equation x + 2y = 10, the value of y is 6, then the value of x will be |
A. -2 |
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B. 2 |
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C. 4 |
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D. 5 |
Ans: -2
Q20. | The graph of the equation 2x + 3y = 5 is a |
A. vertical line |
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B. straight line |
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C. horizontal line |
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D. none of these |
Ans: straight line
CBSE Solutions | Ncert Solutions Maths Class 10
NCERT Solutions | 10th Maths Guide
NCERT | Class 10 Maths Solution
Ncert Solutions for Class 10 Maths
Ncert Solutions for Class 10 Maths Chapter 1
-
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat A
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat B
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat C
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat D
Ncert Solutions for Class 10 Maths Chapter 2
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MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat A
MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat B
MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat C
Ncert Solutions for Class 10 Maths Chapter 3
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MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat A
MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat B
MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat C
Ncert Solutions for Class 10 Maths Chapter 4
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MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat A
MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat B
MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat C
Ncert Solutions for Class 10 Maths Chapter 5
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MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat A
MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat B
MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat C
Ncert Solutions for Class 10 Maths Chapter 6
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MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat A
MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat B
Ncert Solutions for Class 10 Maths Chapter 7
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MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat A
MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat B
Ncert Solutions for Class 10 Maths Chapter 8
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MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat A
MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat B
MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat C
Ncert Solutions for Class 10 Maths Chapter 9
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MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat A
MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat B
Ncert Solutions for Class 10 Maths Chapter 10
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MCQ Questions for Class 10 Maths Chapter 10 Circles Sat A
MCQ Questions for Class 10 Maths Chapter 10 Circles Sat B
Ncert Solutions for Class 10 Maths Chapter 11
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MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat A
MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat B
Ncert Solutions for Class 10 Maths Chapter 12
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MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat A
MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat B
Ncert Solutions for Class 10 Maths Chapter 13
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MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat A
MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat B
MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat C
Ncert Solutions for Class 10 Maths Chapter 14
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MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat A
MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat B
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