Home
Class 12
MATHS
The system of equations alpha x+y+z=al...

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` is(a)

A

1

B

not -2

C

either -2 or 1

D

-2

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

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 :

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

If sin alpha , 1 , cos 2 alpha are in GP, then find the general solution for alpha

If a variable takes the discrete values : alpha + 4, alpha - (7)/(2), alpha - (5)/(2), alpha - 3, alpha - 2, alpha + (1)/(2), alpha - (1)/(2), alpha + 5, (alpha gt 0) , then the median is :

The angle between the lines x cos alpha + y sin alpha = a and x sin beta - y cos alpha = a is

Show that sqrt((1+cos alpha)/(1-cos alpha))=cosec alpha + cot alpha

If 1+cos alpha+cos ^(2) alpha+….=2-sqrt(2) , thet alpha(0 lt alpha lt pi) is

Prove that sin^(4) alpha + cos^(4) alpha + 2 sin^(2) alpha cos^(2) alpha = 1 .

Transform the equation y = x tan alpha to polar form.

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

    |