Home
Class 12
MATHS
The determinant Delta=|(a,a+b,a+2b),(a+2...

The determinant `Delta=|(a,a+b,a+2b),(a+2b,a,a+b),(a+b,a+2b,a)|=`

A

`9b^(2)(a+b)`

B

`9a^(2)(a+b)`

C

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

D

`9ab(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C MCQ (INVERSE MATRIX)|88 Videos

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D MCQ (LINEAR EQUATIONS)|53 Videos

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A MCQ (ALGEBRA OF MATRICES)|135 Videos

  • MATHEMATICAL REASONING [APPENDIX - 4]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|150 Videos

  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

Similar Questions

Explore conceptually related problems

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} is negative

Without expanding the determinant 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)|

|(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b)|=

If Delta_(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta_(2)=|(x,b),(a,x)| then

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

If Delta_1 = |(x,a,b),(b,x,a),(a,b,x)| and Delta_2 = |(x,a),(a,x)| are the given determinants , then

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. |((b+c)^(2),a^(2),bc),((c+a)^(2),b^(2),ca),((a+b)^(2),c^(2),ab)|=

    Text Solution

    |

  2. If A=|(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)b^(2),ab,a+b)| the...

    Text Solution

    |

  3. The determinant Delta=|(a,a+b,a+2b),(a+2b,a,a+b),(a+b,a+2b,a)|=

    Text Solution

    |

  4. If omega is a cube root of unit, then Delta=|(x+1,omega, omega^(2)),(o...

    Text Solution

    |

  5. |(1,1,1),(a,b,c),(a^(2)-bc,b^(2)-ca,c^(2)-ab)|=

    Text Solution

    |

  6. |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(2))|=0,x!=y!=zimpli...

    Text Solution

    |

  7. If |(a,a^(2),1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))|=0 and vecto...

    Text Solution

    |

  8. If a,b,c are all different and |(a,a^(3),a^(4)-1),(b,b^(3),b^(4)-1),(c...

    Text Solution

    |

  9. If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...

    Text Solution

    |

  10. If a,b,c are all different and |(1+a^(2),1+b^(2),1+c^(2)),(a,b,c),(a^(...

    Text Solution

    |

  11. If p+q+r=0 and |(pa,qb,rc),(qc,ra,pb),(rb,pc,qa)|=k|(a,b,c),(c,a,b),(b...

    Text Solution

    |

  12. If Delta=|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=k(a-b)(b-c)(c-a) then k...

    Text Solution

    |

  13. If abc!=0 and if |(a,b,c),(b,c,a),(c,a,b)|=0 then (a^(3)+b^(3)+c^(3))/...

    Text Solution

    |

  14. |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If f(x)=|(a,-1,0),(ax,a,-1),(ax^(2),ax,a)| then f(3x)-f(2x)=

    Text Solution

    |

  20. If Delta=|(a,1,1),(1,b,1),(1,1,c)|gt0, then

    Text Solution

    |