Home
Class 14
MATHS
If the system of equations x-k y-z=0, k ...

If the system of equations `x-k y-z=0, k x-y-z=0,x+y-z=0` has a nonzero solution, then the possible value of `k` are `-1,2` b. `1,2` c. `0,1` d. `-1,1`

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

  • CO-ORDINATE GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|72 Videos

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

Similar Questions

Explore conceptually related problems

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

If the system of equations x-ky-z=0,kx-y-z=0,x+y-z=0 has a nonzero solution,then the possible value of k are -1,2 b.1,2 c.0,1 d.-1,1

If the system of 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

if the system of equations x+y+z=0 , x+3y+k^2z=0 and x+2y+z=0 have a non zero solution then value of y+(x/z) is

The equations x+y-2z=0,2x-3y-z=0,x-5y+4z=k have non-zero solutions if k=

If system of homogenous equations x+ky-2z=0,2x+y-3z=0 and 4x+2y-kz=0 has non-trivial solution thenthe integral value of k is

The system of equation kx+y+z=1, x +ky+z=k and x+y+kz=k^(2) has no solution if k equals

QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. The course of an enemy submarine as plotted on a set of rectangular ax...

    Text Solution

    |

  2. Let a ,b , c be the real numbers. The following system of equations in...

    Text Solution

    |

  3. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

    Text Solution

    |

  4. If a+b+c=13 What is the maximum value of (a-3)(b-2)(c+1)?

    Text Solution

    |

  5. If abcd=81, what is the minimum value of a+b+c+d?

    Text Solution

    |

  6. Which one of the following is correct?

    Text Solution

    |

  7. If a,b,c are distinct positive real numbers, then

    Text Solution

    |

  8. If a, b, c are the distinct positive numbers than (a+b+c)(ab+bc+ac) is...

    Text Solution

    |

  9. If x+y=25 and x^(2)y^(3)+y^(2)x^(3)=25, what is the value of xy?

    Text Solution

    |

  10. If x gt 0, y gt 0 then minimum value of (x+y)(1/x+ 1/y) is

    Text Solution

    |

  11. If a, b, c and d are four positive numbers such that a+b+c+d=4, then w...

    Text Solution

    |

  12. If x,y and z are three distinct positive real numbers such that x+y+z=...

    Text Solution

    |

  13. If x, y, z are real numbers such that x+y+z=4 and x^(2)+y^(2)+z^(2)=6,...

    Text Solution

    |

  14. If x=7+4sqrt3 and xy=1 then the value of (1/x^2+1/y^2) is

    Text Solution

    |

  15. If a,b and c are positive real numbers the least value of (a+b+c)(1/a+...

    Text Solution

    |

  16. If a, b are postitive real numbers such that ab=1, then the least valu...

    Text Solution

    |

  17. If a, b, c all positive and not euqal, then the value of ((a+b+c)(ab+b...

    Text Solution

    |

  18. If a,b,c are all positive then the minimum value of the expression(a^2...

    Text Solution

    |

  19. If 1lexle3 and 2leyle4, what is the maximum value of ((x)/(y))?

    Text Solution

    |

  20. If a+b+c=3,a^2+b^2+c^2=6 and 1/a+1/b+1/c=1 where a,b,c are all non zer...

    Text Solution

    |