Home
Class 12
MATHS
The system of equations alphax+y+z=a...

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

A

`-2`

B

`1`

C

`-2`

D

either -2 or 1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|22 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • DETERMINANTS

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

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 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 alpha(x-1)+y+z=-1, x+alpha(y-1)+z=-1 and x+y+alpha(z-1)=-1 has no solution, if alpha is equal to

If system of equations (tan alpha)x+(cot alpha)y+(8cos2 alpha)z=0

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

MCGROW HILL PUBLICATION-DETERMINANTS-SOLVED EXAMPLES (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

    Text Solution

    |

  2. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

    Text Solution

    |

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

    Text Solution

    |

  4. The system of homogenous equations (a-1)x+(a+2)y+az=0 (a+1)x+ay+(a...

    Text Solution

    |

  5. The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 ...

    Text Solution

    |

  6. If a,b,c are non-zeroes then the system of equations (alpha+a)x+alphay...

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

  9. Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cose...

    Text Solution

    |

  10. if a+b+c=0 then Delta=|{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 is

    Text Solution

    |

  11. If a != b != c, are value of x which satisfies the equation |(0,x -a...

    Text Solution

    |

  12. If alpha,beta and gamma are such that alpha+beta+gamma=0, then |(1,cos...

    Text Solution

    |

  13. If a,b,and c are the side of a triangle and A,B and C are the angles o...

    Text Solution

    |

  14. If |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|= (a -b) (b -c) (c -a) (a + b+...

    Text Solution

    |

  15. The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are ...

    Text Solution

    |

  16. If alpha,beta,gamma are different from 1 and are the roots of a x^3+b ...

    Text Solution

    |

  17. Let P=[a("ij")] be a 3xx3 matrix and let Q=[b("ij")], where b("ij")=2^...

    Text Solution

    |

  18. If x is a positive integer, then |(x!,(x +1)!,(x +2)!),((x +1)!,(x +2)...

    Text Solution

    |

  19. 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

    |

  20. Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...

    Text Solution

    |