Home
Class 12
MATHS
If p+q+r=0 and |(pa,qb,rc),(qc,ra,pb),(r...

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

A

0

B

abc

C

pqr

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

If x+y+z=0 and |(xa, yb, zc),(yc,za, xb),(zb,xc, ya)|=k|(a,b,c),(b,c,a),(c,a,b)| then k =

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)| then k=

|(a,p,q),(0,b,r),(0,0,c)|

|(1,a,a^(2)+bc),(1,b,b^(2)+ac),(1,c,c^(2)+ab)|=k(a-b),(b-c), (c-a) then k =

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

|(a-b,p-q,x-y),(b-c,q-r,y-z),(c-a,r-p,z-x)|=

If f={(1,a), (2, b), (1, b), (3,c), (1,c)}, g=(a, p), (b,r), (c,q), (c,p)} , then (gof)^(-1)=

If a!=p,b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 then the value of P/(p-a)+q/(q-b)+r/(r-c)

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...

    Text Solution

    |

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

    Text Solution

    |

  3. 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

    |

  4. 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

    |

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

    Text Solution

    |

  6. |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If A is a 3xx3 matrix and det(3A)=k(detA) then k=

    Text Solution

    |

  14. If the matrix [(x,4),(2,8)] is singular, then x=

    Text Solution

    |

  15. If the matrix [(x,b,b),(1,1,1),(0,x,a)] is singular, then x=

    Text Solution

    |

  16. If the matrix A=[(8,-6,2),(-6,7,-4),(2,-4,lamda)] is singular one, the...

    Text Solution

    |

  17. If ((1,2,x),(4,-1,7),(2,4,-6)) is a singular matrix, then x=

    Text Solution

    |

  18. If the matrix [(cos theta, sin theta, 0),(sin theta, cos theta, 0),(0,...

    Text Solution

    |

  19. If Delta=|(1, sin theta, 1 ),(-sin theta, 1, sin theta),(-1 , -sin the...

    Text Solution

    |

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

    Text Solution

    |