Home
Class 12
MATHS
The roots of the equation |(x-1,1,1),(1,...

The roots of the equation `|(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0` are

A

1,2

B

`-1,2`

C

`1,-2`

D

`-1,-2 `

Text Solution

Verified by Experts

The correct Answer is:
B
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

Solve the equation (12x-1)(6x-1)(4x-1)(3x-1)=5

Find the roots of the equation x-(1)/(3x)=(1)/(6)(x ne 0)

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

The roots of the equation 12 x^2 + x - 1 = 0 is :

If x, y, z are all different and not equal to zero and |{:(1+x,,1,,1),(1,,1+y,,1),(1,,1,,1+z):}| = 0 then the value of x^(-1) + y^(-1) + z^(-1) is equal to

If one root of the equation ax^(2) + bx + c =0 is reciprocal of the one root of the equation a_(1)x^(2) + b_(1) x + c_(1) = 0 , then :

The sum of the roots of the equation 2^(33 x-2)+2^(11 x+2)=2^(22 x+1)+1 is

Roots of the equation x^(2) -2x+ 1 =0 are :

Find the roots of the following equations : 1/(x+4)-1/(x-7)=11/30,x ne -4,7

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. The roots of the equation |[2+x,3,-4],[2,3+x,-4],[2,3,-4+x]|=0 are

    Text Solution

    |

  2. A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is

    Text Solution

    |

  3. The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0 are

    Text Solution

    |

  4. If a+b+c=0 , one root of : |(a-x,c,d),(c,b-x,a),(b,a,c-x)|=0 is :

    Text Solution

    |

  5. The non zero value of x, if |[-x,1,0],[1,-x,1],[0,1,-x]|=0 is

    Text Solution

    |

  6. The factors of |[1,1,1],[x,y,1],[x^2,y^2,1]|are

    Text Solution

    |

  7. The factors of |[x,a,b],[a,x,b],[a,b,x]|are

    Text Solution

    |

  8. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

    Text Solution

    |

  9. |[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2),4^(2),5^(2)],[3^(2),4^(2),5^(...

    Text Solution

    |

  10. The value of [[a,b,c,d],[-a,b,c,d],[-a,-b,c,d],[-a,-b,-c ,d]] is

    Text Solution

    |

  11. If A is a square matrix of order 3 and |A|=8, then |adj A|=

    Text Solution

    |

  12. The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=

    Text Solution

    |

  13. The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

    Text Solution

    |

  14. If 3^n is a factor of the determinant [[1,1,1],[n C(1),(n+3) C(1) ,(n+...

    Text Solution

    |

  15. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  16. If f(x)=[[1 ,x ,x+1],[2 x ,x(x-1) ,(x+1) x],[3 x(x-1),x(x-1)(x-2) ,...

    Text Solution

    |

  17. If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 , 0] ,[ 5 , 1]] whenever A^(2)=...

    Text Solution

    |

  18. If A=[[a , b] ,[ b , a]] A^(2)=[[alpha , beta] ,[ beta , a]] then

    Text Solution

    |

  19. Let A = [(1,-1,1),(2,1,-3),(1,1,1)] and (10)B = [(4,2,2),(-5,0,alpha),...

    Text Solution

    |

  20. Let A=[[0, 0 ,-1],[0,-1,0],[-1,0,0]]. The only correct statement about...

    Text Solution

    |