Home
Class 11
MATHS
|{:(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-...

`|{:(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b):}|=`

A

`(a+b+c)^(3)`

B

`2(a+b+c)^(3)`

C

`(a+b+c)^(2)`

D

`2(a+b+c)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS-PRACTICE EXERCISE|39 Videos

  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- EXERCISE - I|21 Videos

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - I|15 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2c,c-a-b):}|=(a+b+c)^(3)

Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c)(c+a)

Show that |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^3

Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),(b,c,a),(c,a,b):}|

IF Delta_1=|{:(a_1^2+b_1+c_1,a_1a_2+b_2+c_2,a_1a_3+b_3+c_3),(b_1b_2+c_1,b_2^2+c_2,b_2b_3+c_1),(c_3c_1,c_3c_2,c_3^2):}|,Delta_2|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}| then find the value of (Delta_1)/(Delta_2)

|(a,b,c),(a^(2),b^(2),c^(2)),(bc,ca,ab)|=

Show that |{:(a,b,c),(b,c,a),(c,a,b):}|=|{:(2bc-a^2,c^2,b^2),(c^2,2ac-b^2,a^2),(b^2,a^2,2ab-c^2):}|=(a^3+b^3+c^3-3abc)^2

If a!=6,b,c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0 then abc

AAKASH SERIES-MATRICES -DETERMINANTS- EXERCISE - II
  1. Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

    Text Solution

    |

  2. If|(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c)|=k|(a,b,c),(b,c,a),(c,a,b...

    Text Solution

    |

  3. |{:(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b):}|=

    Text Solution

    |

  4. If a!=6,b,c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0 then abc

    Text Solution

    |

  5. If w is a complex cube root unity then |{:(1,1+w,1+w^(2)),(1+w,1+w^(2)...

    Text Solution

    |

  6. If alpha, beta, gamma are the roots of x^(3)+px+q=0 then |(alpha, beta...

    Text Solution

    |

  7. |(1,log(x)y,log(x)z),(log(y)x,1,log(y)z),(log(z)x,log(z)y,1)|=

    Text Solution

    |

  8. |(1//a,a^(2),bc),(1//b,b^(2),ca),(1//c,c^(2),ab)|=

    Text Solution

    |

  9. Let A=[(5,5 alpha, alpha),(0, alpha, 5 alpha),(0,0,5)] If |A|^(2)=25 t...

    Text Solution

    |

  10. If k gt1, and the determinant of the matrix A^(2), where A=[(k,kalpha,...

    Text Solution

    |

  11. If bc+ca+ab=18, and |(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))|=...

    Text Solution

    |

  12. If a,b,c are positive and not all equal then |(a,b,c),(b,c,a),(c,a,b)|

    Text Solution

    |

  13. |(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)|

    Text Solution

    |

  14. Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c...

    Text Solution

    |

  15. If a+b+c=0 and |(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0 then x=

    Text Solution

    |

  16. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

    Text Solution

    |

  17. Let |{:(x^(2)+x+1,x+1,2x-3),(3x^(2)-1,x+2,x-1),(x^(2)+5x+1,2x+3,x+4):}...

    Text Solution

    |

  18. If |(a,b,a alpha+b),(b,c, b alpha+c),(a alpha+b, b alpha+c,0)|=0 then

    Text Solution

    |

  19. If a,b,c are the p^(th),q^(th),r^(th) terms in H.P. then |{:(bc,p,1),(...

    Text Solution

    |

  20. If |(3x-8,3,3),(3,3x-8,3),(3,3,3x-8)|=0 then x=0

    Text Solution

    |