Pair of Linear Equations in two variables MCQ X CBSE Mathematics |

1. The number of solutions of the pair of linear equations x + 2y – 8 = 0 and 2x + 4y = 16 is : |

(a) 0 (b) 1 (c) infinitely many (d) none of these |

2. The graphical representation of the pair of equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0 represents : |

(a) intersecting lines (b) parallel lines (c) coincident lines (d) all of these |

3. If a pair of linear equations is consistent, then the lines will be : |

(a) parallel (b) always coincident (c) intersecting or coincident (d) always intersecting |

4. The condition so that the pair of linear equations kx + 3y + 1 = 0, 2x + y + 3 = 0 has exactly one solution is : |

(a) k = 6 (b) k ≠ 6 (c) k = 3 (d) k ≠ 3 |

5. The lines representing the linear equations 2 x – y = 3 and 4x – y = 5 : |

(a) intersect at a point (b) are parallel (c) are coincident (d) intersect at exactly two points |

6. The pair of linear equations 2 x + 5y = –11 and 5x + 15y = –44 has : |

(a) many solutions (b) no solution (c) one solution (d) two solutions |

7. The pair of equations y = 0 and y = –7 has : |

(a) one solution (b) two solutions (c) infinitely many solutions (d) no solution |

8. If the lines given by 3 x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is : |

(a) –5/4 (b) 2/5 (c) 15/4 (d) 3/2 |

9. The pair of linear equations 8 x – 5y = 7 and 5x – 8y = –7 have : |

(a) one solution (b) two solutions (c) no solution (d) many solutions |

10. The pair of linear equations x – 2y = 0 and 3x + 4y = 20 have : |

(a) one solution (b) two solutions (c) many solutions (d) no solution |

11. The pair of linear equations kx + 2y = 5 and 3x + y = 1 has unique solution, if : |

(a) k = 6 (b) k ≠ 6 (c) k = 0 (d) k has any value |

12. One equation of a pair of dependent linear equations is –5 x + 7y = 2, the second equation can be : (a) 10x + 14y + 4 = 0 (b) –10x = 14y + 4 – 0 (c) –10x + 14y + 4 = 0 (d) 10x – 14y = –4 |

13. The value of k for which the pair of equations : kx – y = 2 and 6x – 2y = 3 has a unique solution is |

(a) k = 3 (b) k ≠ 3 (c) k ≠ 0 (d) k = 0 |

14. The value of k for which the pair of linear equations 4x + 6y – 1 = 0 and 2x + ky – 7 = 0 represents parallel lines is : |

(a) k = 3 (b) k = 2 (c) k = 4 (d) k = –2 |

15. If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b respectively are |

(a) 3 and 5 (b) 5 and 3 (c) 3 and 1 (d) –1 and –3 |

## Saturday, 15 September 2012

### Pair of Linear Equations in two variables MCQ X CBSE Mathematics

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