Home
Class 10
MATHS
If a m!=b l , then the system of equa...

If `a m!=b l` , then the system of equations `a x+b y=c ,\ \ \ \ l x+m y=n` (a) has a unique solution (b) has no solution (c) has infinitely many solutions (d) may or may not have a solution

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

  • POLYNOMIAL

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

If the system of equations bx + ay = c, cx + az = b, cy + bz = a has a unique solution, then

The system of equation x+y+z=2 , 3x-y+2z=6 and 3x+y+z=-18 has (a) a unique solution (b) no solution (c) an infinite number of solutions (d) zero solution as the only solution

If the system of equations 2x+3y=7,\ \ \ \ (a+b)x+(2a-b)y=21 has infinitely many solutions, then

The system has unique solution if

The system of equation x+y+z=2,3x-y+2z=6a n d3x+y+z=-18 has (a) unique solution (b) no solution (c)an infinite number of solutions (d) zero solution as the only solution

The system of equations 3x+y-z=0, 5x+2y-3z=0, 15x+6y-9z=5 has (A) no solution (B) a unique solution (C) two distinct solutions (D) infinitely many solutions

For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz=5,x+y+3z=4 has (i) no solution (ii) a unique solution (iii) infinitely many solutions.

For what values of a and b, the system of equations 2x+a y+6z=8, x+2y+b z=5, x+y+3z=4 has: (i) a unique solution (ii) infinitely many solutions (iii) no solution

If the system of equations 2x+3y=5,\ \ \ \ 4x+k y=10 has infinitely many solutions, then k= (a) 1 (b) (c) 3 (d) 6

The equation 2x+y+z=0, x+y+z=1, 4x+3y+3z=2 have (A) no solution (B) only one solution (C) infinitely many solutions (D) none of these

RD SHARMA ENGLISH-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. Write the value of k for which the system of equations 3x-2y=0 and ...

    Text Solution

    |

  2. Write the values of k for which the system of equations x+k y=0,\ \...

    Text Solution

    |

  3. Write the set of values of a and b for which the following syste...

    Text Solution

    |

  4. For what value of k , the following pair of linear equations has in...

    Text Solution

    |

  5. Write the number of solutions of the following pair of linear equat...

    Text Solution

    |

  6. Write the number of solutions of the following pair of linear equat...

    Text Solution

    |

  7. The value of k for which the system of equations k x-y=2 and 6x-2y=3...

    Text Solution

    |

  8. The value of k for which the system of equations 2x+3y=5,\ \ \ \ 4x+...

    Text Solution

    |

  9. The value of k for which the system of equations x+2y-3=0 and 5x+k ...

    Text Solution

    |

  10. The value of k for which the system of equations 3x+5y=0 and k x+10...

    Text Solution

    |

  11. If the system of equations 2x+3y=7,\ \ \ \ (a+b)x+(2a-b)y=21 has inf...

    Text Solution

    |

  12. If the system of equations 3x+y=1,\ \ (2k-1)x+(k-1)y=2k+1 is inconsi...

    Text Solution

    |

  13. If a m!=b l , then the system of equations a x+b y=c ,\ \ \ \ l x+m...

    Text Solution

    |

  14. If the system of equations 2x+3y=7,\ \ \ 2a x+(a+b)y=28 has infinite...

    Text Solution

    |

  15. The value of k for which the system of equations x+2y=5,\ \ 3x+k y+1...

    Text Solution

    |

  16. If 2x-3y=7 and (a+b)x-(a+b-3)y=4a+b represent coincident lines, then...

    Text Solution

    |

  17. If a pair of linear equations in two variables is consistent, then t...

    Text Solution

    |

  18. If the system of equations 2x+3y=5,\ \ \ \ 4x+k y=10 has infinitely ...

    Text Solution

    |

  19. If the system of equations k x-5y=2,\ \ \ \ 6x+2y=7 has no solution,...

    Text Solution

    |

  20. The area of the triangle formed by the line x=3,\ \ y=4 and x=y is ...

    Text Solution

    |