Home
Class 12
MATHS
Write the value of the following determi...

Write the value of the following determinant `abs{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}`.

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Important Questions from Miscellaneous Exercise|14 Videos
  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|20 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos
  • DIFFERENTIAL EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |44 Videos

Similar Questions

Explore conceptually related problems

Write the value of the determinant |(0,a-b,a-c), (b-a, 0, b-c),(c-a, c-b, 0)|

Evaluate the following determinants: |(0,c,b),(c,0,a),(-b,-a,0)|

Without actual expansion, prove that the following determinants vanish: {:|(a,b,c),(a-b,b-c,c-a),(b,c,a)|

Without expanding, prove that the following determinants vanish: {:|(a,b,a+b),(b,c,b+c),(c,a,c+a)|

Without expanding, prove that the following determinants vanish: {:|(b^2c^2,bc,b+c),(c^2a^2,ca,c+a),(a^2b^2,ab,a+b)|

Without expanding show that the following determinants vanish |(4,a,b+c),(4,b,c+a),(4,c,a+b)|

OMEGA PUBLICATION-DETERMINANTS-Multiple Choice Questions (MCQs)
  1. Write the value of the following determinant abs{:(a-b, b-c, c-a),(b-c...

    Text Solution

    |

  2. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:

    Text Solution

    |

  3. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

    Text Solution

    |

  4. If A is an invertible matrix of order n, then |adj A|=

    Text Solution

    |

  5. If area of triangle is 35 sq. units with vertices (2, - 6), (5, 4) and...

    Text Solution

    |

  6. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

    Text Solution

    |

  7. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

    Text Solution

    |

  8. Select the Correct Option If A is an invertible matrix of order 2, the...

    Text Solution

    |

  9. If a, b, c are in A.P., then the determinant abs{:(x+2, x+3, x+2a),(x+...

    Text Solution

    |

  10. If x, y, z are non-zero real numbers, then the inverse of matrix A = [...

    Text Solution

    |

  11. Let A = [{:(1, sin theta , 1),(-sin theta, 1 , sin theta),(-1 , - sin ...

    Text Solution

    |

  12. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:

    Text Solution

    |

  13. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

    Text Solution

    |

  14. If A is an invertible matrix of order n, then |adj A|=

    Text Solution

    |

  15. If area of triangle is 35 sq. units with vertices (2, - 6), (5, 4) and...

    Text Solution

    |

  16. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

    Text Solution

    |

  17. Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

    Text Solution

    |

  18. lf A is an invertible matrix of order 2, then |A^(-1) | is equal to

    Text Solution

    |

  19. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

    Text Solution

    |

  20. If x. y, z are non- real number", then the inverse of matrix A = [[x,0...

    Text Solution

    |

  21. Let A = [{:(1, sin theta , 1),(-sin theta, 1 , sin theta),(-1 , - sin ...

    Text Solution

    |