## Class 10 Maths Chapter 3 “Pair of Linear Equations in Two Variables” Multiple Choice Questions with Answer Key

**Pair of Linear Equations in Two Variables MCQs – **Here is a compilation of **Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables MCQs**. Students can practice free MCQs as have been added by CBSE in the new Exam pattern to know their preparation level. At the end of Multiple Choice Questions, the answer key has also been provided for your reference.

**Q1. The graph of y = 4x is a line**

(A) parallel to x-axis

(B) parallel to y-axis

(C) perpendicular to y-axis

(D) passing through the origin

**Q2. The pair of equations x = 0 and x = 5 has**

(A) no solution

(B) unique/one solution

(C) two solutions

(D) infinitely many solutions

**Q3. One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be**

(A) 2x + 5y = 6

(B) 3x + 5y = 3

(C) -10x – 25y + 15 = 0

(D) 10x + 25y = 15

**Q4. The graph of y = 5 is a line parallel to the**

(A) x-axis

(B) y-axis

(C) both axis

(D) none of these

**Q5. If a pair of linear equations is consistent, then the lines will be**

(A) always coincident

(B) parallel

(C) always intersecting

(D) intersecting or coincident

**Q6. The value of k, for which the system of equations x + (k + l) y = 5 and (k + l) x + 9y = 8k – 1 has infinitely many solutions is**

(A) 2

(B) 3

(C) 4

(D) 5

**Q7. If in the equation x + 2y = 10, the value of y is 6, then the value of x will be**

(A) -2

(B) 2

(C) 4

(D) 5

**Q8. The pair of equation x = – 4 and y = – 5 graphically represents lines which are**

(A) intersecting at (- 5, – 4)

(B) intersecting at (- 4, – 5)

(C) intersecting at (5, 4)

(D) intersecting at (4, 5)

**Q9. The graph of the equation 2x + 3y = 5 is a**

(A) vertical line

(B) straight line

(C) horizontal line

(D) none of these

**Q10. 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

(B) 2, 3

(C) 1, 4

(D) 19/5, 6/5

**Q11. Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are**

(A) intersecting at one point

(B) parallel

(C) intersecting at two points

(D) coinciden

**Q12. If am bl then the system of equations ax + by = c, lx + my = n, has**

(A) a unique solution

(B) no solution

(C) infinitely many solutions

(D) none of these

**Q13. The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have**

(A) a unique solution

(B) infinitely many solutions

(C) no solution

(D) two solutions

**Q14. The graph of x = -2 is a line parallel to the**

(A) x-axis

(B) y-axis

(C) both x- and y-axis

(D) none of these

**Q15. Two equations in two variables taken together are called**

(A) linear equations

(B) quadratic equations

(C) simultaneous equations

(D) none of these

### Class 10 Maths Chapter 3 MCQ Answer Key

Q.No. | Ans. | Q.No. | Ans. |

1 | D | 9 | B |

2 | C | 10 | D |

3 | C | 11 | B |

4 | A | 12 | A |

5 | D | 13 | C |

6 | A | 14 | B |

7 | A | 15 | C |

8 | B |