Home
Class 12
MATHS
The system of linear equations x + y +...

The system of linear equations
`x + y + z = 2`
`2x + y -z = 3`
`3x + 2y + kz = 4`
has a unique solution, if

A

k = 0

B

k`ne` 0

C

`-1 lt k lt 1`

D

`-2 lt k lt 2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

For what values of k, does the system of linear equations x + y + z = 2, 2x + y - z = 3, 3x + 2y + kz = 4 have a unique solution ?

The system of linear equations kx + y + z = 1, x + ky + z = 1 and x + y + kz = 1 has a unique solution under which one of the following conditions ?

The system of linear equations lambda x + y + z = 3 x - y - 2z = 6 -x + y + z = mu has

For what values of k, does the system of linear equations x+y+z=2, 2x+y-z=3, 3x+2y+kz=4 have a unique solution ?

What should be the value of k so that the system of linear equations x - y + 2z = 0, kx - y + z = 0, 3x + y - 3z = 0 does not possess a unique solution ?

What should be the value of k so that the system of linear equations x - y + 2z = 0, kx - y + z = 0, 3x + y - 3z = 0 does not possess a unique solution ?

For what values of a and b the system of equations 2 x + ay + 6 z = 8 x+2y+bz=5 x + y + 3 z = 4 , has a unique solution ?

If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z = 0 3x + y + 3z = 0 has a non -zero solution (x, y, -z) for some k in R then x + (y/z) is equal to :

If the following system of linear equations 2x + y + z = 5 x - y +z = 3 x + y + az = b has no solution, then :

DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. If the area of triangle with vertices (2,-6), (5,4) and (k,4) is 35. T...

    Text Solution

    |

  2. Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2c^2), (1+ab+a^2b^2, 1+b^2+b^4,...

    Text Solution

    |

  3. The rank of the matrix [{:(-1,2,5),(2,-4,a-4),(1,-2,a+1):}] is

    Text Solution

    |

  4. If y = |{:(sin x , cos x , sin x),(cos x,-sin x, cos x),(x, 1, 1):}|, ...

    Text Solution

    |

  5. Consider the system of linear equations a(1)x+b(1)y+ c(1)z+d(1)=0, ...

    Text Solution

    |

  6. " If " Delta(1) =|{:(x,,b,,b),(a,,x,,b),(a,,a,,x):}|" and " Delta(2)...

    Text Solution

    |

  7. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  8. If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0...

    Text Solution

    |

  9. If the system of linear equations x + 2ay + az = 0 x + 3by + bz = ...

    Text Solution

    |

  10. If the system of equations, a^(2) x - ay = 1 - a and bx + (3-2b) y = 3...

    Text Solution

    |

  11. Consider the system of equations : x + ay = 0, y + az = 0 and z + ax=0...

    Text Solution

    |

  12. The system of linear equations x + y + z = 2 2x + y -z = 3 3x + ...

    Text Solution

    |

  13. if the system of equation ax+y+z=0, x+by=z=0,and x+y+cz=0 (a,b,c!=1) h...

    Text Solution

    |

  14. If the system of linear equations x + 2ay + az = 0 x + 3by + bz = ...

    Text Solution

    |

  15. The system of equations alpha x + y + z = alpha - 1 x + alpha y + =...

    Text Solution

    |

  16. If lt 1 and the system of equations x+y-1=0 2x-y-c=0 and -bx+3by-c =0 ...

    Text Solution

    |

  17. For what value of m does the system of equations 3x+m y=m ,2x-5y=20 ha...

    Text Solution

    |

  18. The system of simulataneous equations kx + 2y -z = 1 (k -1) y -2z ...

    Text Solution

    |

  19. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

    Text Solution

    |

  20. If a system of three linear equations x+4a y+a=0,x+3b y+b=0,a n dx+2c ...

    Text Solution

    |