Home
Class 12
MATHS
The value of |alpha| for which the sy...

The value of `|alpha|` for which the system of equation
`alphax+y+z=alpha-1`
`x+alphay+z=alpha-1`
`x+y+alphaz=alpha-1`
has no solution , is `"____"`

A

not -2

B

1

C

`-2`

D

either -2 or 1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

The system of equations alpha x-y-z=alpha-1 , x-alpha y-z=alpha-1,x-y-alpha z=alpha-1 has no solution if alpha

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 x+y+alphaz=alpha-1 and has no solution if alpha is

The system of equations alpha x + y + z = alpha - 1 x + alpha y + = alpha - 1 , x + y + alpha z = alpha - 1 has infinite solutions, if alpha is

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1 has no solution if alpha is (A) 1 (B) not -2 (C) either -2 or 1 (D) -2

The number of real values of alpha for which the system of equations x + 3y + 5z = alpha x 5 x + y + 3z = alpha y 3 x + 5y + z = alpha z has infinite number of solutions is

For what value(s) of alpha will the system of linear equations alphax + 3y = alpha - 3 and 12x + alpha y = alpha has a unique solution?

MCGROW HILL PUBLICATION-DETERMINANTS-QUESTIONS FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. If a(1),a(2),a(3),……….a(n) ………… are in G.P and a(i) gt 0 then the va...

    Text Solution

    |

  2. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

    Text Solution

    |

  3. The value of |alpha| for which the system of equation alphax+y+z=...

    Text Solution

    |

  4. If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...

    Text Solution

    |

  5. Let a,b and c be such that (b+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1)...

    Text Solution

    |

  6. If a, b, c are positive and unequal, show that value of the determinan...

    Text Solution

    |

  7. Statement 1: The system of linear equations x|(sinalpha)y+(cos alpha...

    Text Solution

    |

  8. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  9. If a , b , c are non-zero real numbers and if the system of equations ...

    Text Solution

    |

  10. Let fori 1, 2, 3, pi(x) be a polynomial ofdegree 2 in x1 pi (x) and ...

    Text Solution

    |

  11. If |(a^(2),b^(2),c^(2)),((a+lamda)^(2),(b+lamda)^(2),(c+lamda)^(2)),...

    Text Solution

    |

  12. If Deltar=|(r,2r-1,3r+2),(n/2,n-1,a),(1/2n(n-1),(n-1)^2,1/2(n-1)(3n+4...

    Text Solution

    |

  13. The set of all values of lambda for which the system of linear equat...

    Text Solution

    |

  14. If |(x^2+x,x+1,x-2),(2x^2+3x-1,3x,3x-3),(x^2+2x+3,2x-1,2x-1)|=ax-12 t...

    Text Solution

    |

  15. The least value of the product xyz for which the determinant |(x,1,1)...

    Text Solution

    |

  16. The system of linear equations x + lambda y-z =0, lambdax-y -z =0, x...

    Text Solution

    |

  17. The number of distinct real roots of the equation, |(cos x, sin x , si...

    Text Solution

    |

  18. If S is the set of distinct values of ' b for which the following syst...

    Text Solution

    |

  19. Let omega be a complex number such that 2omega+1=z where z=sqrt(-3). I...

    Text Solution

    |

  20. The number of real values of lambda for which the system of linear equ...

    Text Solution

    |