Home
Class 12
MATHS
If the system of the equations : x - k...

If the system of the equations :
`x - ky-z=0, kx - y - z = 0, x+y-z=0` has a non - zero solution, then the possible values of k are :

A

`-1,2`

B

1,2

C

0,1

D

`-1,1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If the system of equation : x + y + z = 0 , 2 x + 3y + 4z = 0 , kx + y - z = 0 has a non - zero solution , then the value of k is

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

If the system of equations x+a y=0, a z+y=0 and a x+z=0 has infinite solutions, then the value of a is

The system of linear equations x+y+z = 6, x+2y+3z = 10 and x + 2y +az = b has no solution when _______

The system of equations : x+y+z =6 x+2 y+3 z =10 x+2 y+lambda z =mu has no solution for

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

The system of equations : ax-y-z=alpha-1 x-ay-z=alpha-1 x-y-alphaz=alpha-1 has no solution if alpha is :

The system of linear equations : x+y+z=6,x+2y+3z=1 and x+2y+az=6 has no solutions when :

If the system of equations x+ay+az=0 , bx+y+bz=0 , cx +cy +z=0 where a,b,c are non - zero and non - unity has a non - trivial solution, then the value of (a)/(1-a)+b/(1-b)+c/(1-c) is :

The system of linear equation : x+y+z=6,x+2y+3z=10 and x+2y+az=6 has no solutions when:

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

    Text Solution

    |

  2. If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...

    Text Solution

    |

  3. If Delta= |[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| then Delta=

    Text Solution

    |

  4. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

    Text Solution

    |

  5. The value of the determinant |[10!,11!,12!],[11!,12!,13!],[12!,13!,14...

    Text Solution

    |

  6. If omega is an imaginary cube root of unity, then the value of |[a,b ...

    Text Solution

    |

  7. Let a, b, c be such that b(a+c) ne 0. If |[a,a+1,a-1],[-b,b+1,b-1],[c...

    Text Solution

    |

  8. If f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-...

    Text Solution

    |

  9. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  10. Given, 2 x-y+2 z=2 x-2y+z=-4 x+y+lambda z=4 then the value of...

    Text Solution

    |

  11. If the system of equations x+a y=0, a z+y=0 and a x+z=0 has infinite s...

    Text Solution

    |

  12. The number of values of k for which the system of equations : (k+1)x...

    Text Solution

    |

  13. If the system of the equations : x - ky-z=0, kx - y - z = 0, x+y-z=0...

    Text Solution

    |

  14. The number of values of k for which the linear equations : 4x+ky+2z=...

    Text Solution

    |

  15. Consider the system of linear equations : x1+2x2+x3=3 2x1+3x2+x3=3...

    Text Solution

    |

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

    Text Solution

    |

  17. If the system of equations : x + 4ay+az =0, x + 3by+ bz = 0 , x + 2cy ...

    Text Solution

    |

  18. The value of a for which the system of equations a^3 x+(a+1)^3y+(a...

    Text Solution

    |

  19. The system of equations : x+y+z =6 x+2 y+3 z =10 x+2 y+lambda z ...

    Text Solution

    |

  20. Consider the system of equations in x, y, z as x sin3theta-y+z =0 ...

    Text Solution

    |