Home
Class 12
MATHS
What is the value of : |[4,a,b+c ],[4,b,...

What is the value of : `|[4,a,b+c ],[4,b,c+a],[4,c,a+b]|`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    SHARAM PUBLICATION|Exercise EXAMPLE|156 Videos

  • DIFFERENTIAL EQUATION

    SHARAM PUBLICATION|Exercise EXAMPLE|124 Videos

Similar Questions

Explore conceptually related problems

What is the value of abs[[a,b+c,1],[b,c+a,1],[c,a+b,1]] ?

Find the value of [[1,a,b+a],[1,b,c+a],[1,c,a+b]] .

Evaluate [[1,a,b+c],[1,b,c+a],[1,c,a+b]]

Find the value of |[a-b,b+c,a],[b-a,c+a,b],[c-a,a+b,c]| ?

if a, b,c are in A.P. then what is the value of: |[x+1,x+2,x+a],[x+2,x+3,x+b],[x+3,x+4,x+c]| ?

Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]] =4ab

Prove that: |[a, b, c],[a-b, b-c, c-a ], [b+c, c+a, a+b]|= a^3+b^3+c^3-3abc

Find x if [[a,b,c],[b,a,c],[x,b,c]] =0

Prove that: |[a+b+2c, a, b],[c, b+c+2a, b],[c, a, c+a+2b]|=2(a+b+c)^3

Prove the following: [[a,b,c],[b,c,a],[c,a,b]]=3abc-a^3-b^3-c^3

SHARAM PUBLICATION-DETERMINANT-EXAMPLE
  1. Evaluate the following determinants: [[a-b,b-c,c-a],[b-c,c-a,a-b],[c...

    Text Solution

    |

  2. Write the value of |[2,3,4],[5,6,8],[6x,9x,12x]|

    Text Solution

    |

  3. What is the value of : |[4,a,b+c ],[4,b,c+a],[4,c,a+b]|

    Text Solution

    |

  4. What is the value of the determinant |[102,18,36],[1,3,4],[17,3,6]|?

    Text Solution

    |

  5. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

    Text Solution

    |

  6. Solve the following : [[0,x-a,x-b],[x+a,0,x-c],[x+b,x+c,0]]=0

    Text Solution

    |

  7. Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...

    Text Solution

    |

  8. Prove without expanding that |[bc,a,a^2],[ca,b,b^2],[ab,c,c^2]|=|[1,a^...

    Text Solution

    |

  9. Factorise the determinant |[x^3-a^3,x^2,x],[b^2-a^3,b^2,b],[c^3-a^3,c^...

    Text Solution

    |

  10. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

    Text Solution

    |

  11. Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...

    Text Solution

    |

  12. Prove the following: [[a^2+1,ab,ac],[ab,b^2+1,bc],[ac,bc,c^2+1]] =1+...

    Text Solution

    |

  13. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

    Text Solution

    |

  14. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

    Text Solution

    |

  15. Without expanding find the value of the deteminant |[3, 6, 9],[-2, 4 ,...

    Text Solution

    |

  16. Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.

    Text Solution

    |

  17. Without expanding prove that: |[12, 2, 4, -5, 1],[-8, 1, -5, 2, -1],[6...

    Text Solution

    |

  18. Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)

    Text Solution

    |

  19. Solve : |[x-a, 0, 0],[a, x-b, 0],[a, b, x-c]|=0

    Text Solution

    |

  20. What is the value of the determinant |[0, 0, 2],[0, 2, 0],[2, 0 ,0]|

    Text Solution

    |