Home
Class 12
MATHS
Show that |{:(a-b-c," "2a," "2a),(" "...

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

A

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

B

`(a+b+c)^(4)`

C

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

D

`(a+b+c)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

Without expanding the determinant, prove that {:[( a, a ^(2), bc ),( b ,b ^(2) , ca),( c, c ^(2) , ab ) ]:} ={:[( 1, a^(2) , a^(3) ),( 1,b^(2) , b^(3) ),( 1, c^(2),c^(3)) ]:}

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

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):}|

Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. If 1/a+1/b+1/c=0 then |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=

    Text Solution

    |

  2. |(a^(2)+1,ab,ac),(ab,b^(2)+1,bc),(ac,bc,c^(2)+1)|=

    Text Solution

    |

  3. Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...

    Text Solution

    |

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

    Text Solution

    |

  5. A=[(1, 5, 6),(2,3,4),(1,1,1)] find rank of A

    Text Solution

    |

  6. |(a,b-c,c+b),(a+c,b,c-a),(a-b,b+a,c)|=

    Text Solution

    |

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

    Text Solution

    |

  8. |(a^(2)+2a,2a+1,1),(2a+1,a+2,1),(3,3,1)|

    Text Solution

    |

  9. |(sin^(2)x,cos^(2)x,1),(cos^(2)x,sin^(2)x,1),(-10,12,2)|=

    Text Solution

    |

  10. If A=[a(ij)] is a scalar matrix of order nxxn such that a(ij)=k for al...

    Text Solution

    |

  11. If A=[a(ij)] is a square matrix of order nxxn and k is a scalar then |...

    Text Solution

    |

  12. |(x,p,q),(p,x,q),(p,q,x)|=

    Text Solution

    |

  13. Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

    Text Solution

    |

  14. |(a+b,c,c),(b,a+c,b),(a,a,b+c)|=

    Text Solution

    |

  15. |(b^(3)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(ca,bc,a^(3)+b^(2))|=

    Text Solution

    |

  16. If |((a^(2)+b^(2))//c, c, c),(a,(b^(2)+c^(2))//a,a),(b,b,(c^(2)+a^(2))...

    Text Solution

    |

  17. |((b+c)^(2),a^(2),a^(2)),(b^(2),(c+a)^(2),b^(2)),(c^(2),c^(2),(a+b)^(2...

    Text Solution

    |

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

    Text Solution

    |

  19. IfA=[(1,-2,0),(5,2,3),(1,1,x)] and det(A)=3 Find x=

    Text Solution

    |

  20. If |(a^(2),bc,ac+c^(2)),(a^(2)+ab,b^(2),ac),(ab,b^(2)+bc,c^(2))|=k the...

    Text Solution

    |