Home
Class 12
MATHS
|{:(x,a,b),(a,x,b),(a,b,x):}|...

` |{:(x,a,b),(a,x,b),(a,b,x):}|`

Text Solution

Verified by Experts

The correct Answer is:
`(x-a)(x-b)(x+a+b)`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2C|37 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answers Type)|5 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2A|36 Videos

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

|{:(x,a,a),(a,x,b),(b,b,x):}|=0

If Delta=|{:(-x,a,b),(b,-x,a),(a,b,-x):}| then a factor of Delta is -

" if " Delta = |{:(-x,,a,,b),(b,,-x,,a),(a,,b,,-x):}|" then a factor of " Delta " is "

Prove that (a+b+c+x) is a factor of |(x+a, b,c),(b,x+c,a),(c,a,x+b)|

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

Solve : |(x + a, b, c),(a, x+b, c),(a, b, x + c)| =0

If A xx B={(a, x), (a,y),(b,x),(b,y)} . Find A and B.

If |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then the value of x is -

Solve for x in R : |((x+a)(x-a),(x+b)(x-b),(x+c)(x-c)),((x-a)^3,(x-b)^3,(x-c)^3),((x+a)^3,(x+b)^3,(x+c)^3)| =0, a,b and c being distinct real numbers.

|{:(x+a," "b," "c),(" "a,x+b," "c),(" "a," "b,x+c):}|=0

CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2B
  1. Let A be a square matrix of order 3xx3, then |KA| is equal to

    Text Solution

    |

  2. |{:(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma,gamma+alpha...

    Text Solution

    |

  3. |{:(x,a,b),(a,x,b),(a,b,x):}|

    Text Solution

    |

  4. |{:(2,3,4),(3,4,5),(4,5,6):}|=0

    Text Solution

    |

  5. |{:(a,b,c),(x,y,z),(p,q,r):}|=|{:(x,y,z),(p,q,r),(a,b,c):}|=|{:(y,b,q)...

    Text Solution

    |

  6. |{:(1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega):}|=0 where om...

    Text Solution

    |

  7. |{:(b+c,a,1),(c+a,b,1),(a+b,c,1):}|=0

    Text Solution

    |

  8. |{:(a-b,1,a),(b-c,1,b),(c-a,1,c):}|=|{:(a,1,b),(b,1,c),(c,1,a):}|

    Text Solution

    |

  9. |{:(a+1,a+4,a+2),(a+2,a+5,a+4),(a+3,a+6,a+6):}|=0

    Text Solution

    |

  10. |{:(" "0," "a,b),(-a," "0,c),(-b,-c,0):}|

    Text Solution

    |

  11. |{:(9,9,12),(1,-3,-4),(1,9,12):}|=0

    Text Solution

    |

  12. |{:(a,a^2,bc),(b,b^2,ca),(c,c^2,ab):}|=|{:(1,a^2,a^3),(1,b^2,b^3),(1,c...

    Text Solution

    |

  13. |{:(441,442,443),(445,446,447),(449,450,451):}|=0

    Text Solution

    |

  14. Prove |{:(cos(x-a),cos(x+a),cosx),(sin(x+a),sin(x-a),sinx),(cosa tan x...

    Text Solution

    |

  15. |{:(101,103,105),(104,105,106),(107,108,109):}|=0

    Text Solution

    |

  16. |{:(5^2,5^3,5^4),(5^3,5^4,5^5),(5^4,5^6,5^7):}|=0

    Text Solution

    |

  17. |{:(1,alpha,alpha^2),(1,beta,beta^2),(1,gamma,gamma^2):}|=(alpha-beta)...

    Text Solution

    |

  18. |{:(1,1,1),(a,b,c),(bc,ca,ab):}|=(a-b)(b-c)(c-a)

    Text Solution

    |

  19. |{:(1,alpha,alpha^3),(1,beta,beta^3),(1,gamma,gamma^3):}|=(alpha-beta)...

    Text Solution

    |

  20. |{:(a+b+2c," "a," "b),(" "c,b+c+2a," "b),(" "c,...

    Text Solution

    |