Home
Class 11
MATHS
The equation x-y+2z=4,3x+y+4z=6, x+y+z=1...

The equation `x-y+2z=4,3x+y+4z=6, x+y+z=1` have

A

unique solution

B

Infinitely many solutions

C

no solution

D

two solutions

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - EXERCISE - I|24 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

The equations x-y+2z=4 3x+y+4z=6 x+y+z=1 have

The equation 2x+y-4z=0, x-2y+3z=0 , x-y+z=0 have

The equations x+2y-z=3, 3x-y+2z=1, 2x-2y+3z=2 have

Solve the equations x-3y-8z=-10,3x+y-4z=0,2x+5y+6z=13 , by Gauss -Jordan method.

The equations x+y+z =0,x + 2y-4z = 0,2x - y - z =0 have

Examine the consistency of the following systems of equations x-3y-8z=10,3x+y-4z=0,2x+5y+6z=13 , and if consistent find the complete solutions.

Solve the equations x-3y+2z=8,3x+4y+z=5,-4x+2y-9z=2 using Crammer's method

AAKASH SERIES-MATRICES -LINEAR EQUATIONS - EXERCISE - II
  1. The equation x+y+z=6, x+2y+3z=10, x+2y+lamdaz=mu have unique solution ...

    Text Solution

    |

  2. The system of linear equations x+y+z=2, 2x+y-z=3, 3x+2y+kz=4 has a uni...

    Text Solution

    |

  3. If the system of equations x+2y+3z=lamdax,3x+y+2z=lamday,2x+3y+z=lamda...

    Text Solution

    |

  4. By eliminating a,b,c from the Homogeneous Equations x=(a)/(b-c),y=(b)/...

    Text Solution

    |

  5. The system of equations x+y+z=6, x+2y+3z=10,x+2y+lamdaz=mu is inconsis...

    Text Solution

    |

  6. The rank of [(1,-1,1,1),(-1,1,1,2),(1,1,-1,3)] is

    Text Solution

    |

  7. If a,b,c are all different and the equations ax+a^(2)y+(a^(3)+1)z=0, b...

    Text Solution

    |

  8. The values of lamda for which the system of equations x+y-3=0, (1+ lam...

    Text Solution

    |

  9. The system of equations -2x+y+z=a,x-2y+z=b,x+y-2z=c is consistent if

    Text Solution

    |

  10. The system of equations -2x+y+z=a,x-2y+z=b,x+y-2z=c is consistent if

    Text Solution

    |

  11. The rank of [(1,0,2),(0,1,-2),(1,-1,4),(2,2,8)] is

    Text Solution

    |

  12. If the matrix A=[(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,alpha)] is of ra...

    Text Solution

    |

  13. The rank of the matrix [(-1,2,5),(2,-4,a-4),(1,-2,a+1)] is

    Text Solution

    |

  14. If the system of equations (k+1)^(3)x+(k+2)^(3)y=(k+3)^(2),(k+1)x+(k+2...

    Text Solution

    |

  15. Statement - I The soluton of the system of equations 2x-y+3z=9,x+y+z=...

    Text Solution

    |

  16. Statement I : Rank of a matrix is defined for only square matrices ...

    Text Solution

    |

  17. Match the following from List - I to List - II {:(,"List - I",,"List...

    Text Solution

    |

  18. the system of equations x+y+z=4,2x+5y-2z=3,x+7y-7z=5 has no solution.

    Text Solution

    |

  19. Consider the system of equations ax + by + cz = 2 bx + cy + az = 2...

    Text Solution

    |

  20. The equation x-y+2z=4,3x+y+4z=6, x+y+z=1 have

    Text Solution

    |