Home
Class 12
MATHS
If a,b,c are non-zero real number such t...

If `a,b,c` are non-zero real number such that `|(bc,ca,ab),(ca,ab,bc),(ab,bc,ca)|=0,` then

A

`a^(-1)+b^(-1)+c^(-1)=0`

B

`a^(-1)+b^(-1)-c^(1)=0`

C

`a^(-1)-b^(-1)+c^(-1)=0`

D

`a^(-1)-b^(-1)-c^(-1)=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are non-zero real numbers then D=det[[b^(2)c^(2),bc,b+cc^(2)a^(2),ca,c+aa^(2)b^(2),ab,a+b]]=(A)abc(B)a^(2)b^(2)c^(2)(C)bc+ca+ab(D)0,

Let a,b,c be real numbers such that a+2b+c=4. Find max(ab+bc+ca)

If a,b,c are non-zero real numbers and a+b+c=0, then the value of (a^(2))/(bc)+(b^(2))/(ca)+(c^(2))/(ab) is (A)0(B)2(D)4(C)3

If a,b,c are distinct positive real numbers then (bc)/(a)+(ca)/(b)+(ab)/(c) is greater than or equal

MCGROW HILL PUBLICATION-DETERMINANTS-EXERCISE (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

    Text Solution

    |

  2. If alpha,beta & gamma are the roots the equations x^(3)+px+q=0 then th...

    Text Solution

    |

  3. If a,b,c are non-zero real number such that |(bc,ca,ab),(ca,ab,bc),(ab...

    Text Solution

    |

  4. The determinant Delta =|(lamda a , lamda^(2)+a^(2),1),(lamda b,lamda^(...

    Text Solution

    |

  5. If alpha,beta,gamma are real numbers, then determinant Delta=|(sin^2 a...

    Text Solution

    |

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

    Text Solution

    |

  7. If x!=0 the determinant Delta=|(a(0),a(1),a(2)),(-x,x,0),(0,-x,x)| ...

    Text Solution

    |

  8. If x epsilon R the determinant Delta=|(1,cosx,0),(-1,1-cosx,sinx+cos...

    Text Solution

    |

  9. The factors of |(x,a,b),(a,x,b),(a,b,x)|, are

    Text Solution

    |

  10. Find the maximum value of |1 1 1 1 1+sintheta1 1 1 1+costheta|

    Text Solution

    |

  11. If |(x +a,b,c),(a,x +b,c),(a,b,x +c)| = 0, then x equals

    Text Solution

    |

  12. The determinant |(sec^(2)theta, tan^(2)theta,1),(tan^(2)theta, sec^(...

    Text Solution

    |

  13. If Delta=|(-a,2b,0),(0,-a,2b),(2b,0,-a)|=0 then

    Text Solution

    |

  14. The determinant Delta=|(1,1+i,i),(1+i,i,1),(i,1,1+i)| equals

    Text Solution

    |

  15. If a,b,c are non zero real numbers then Delta=|(1,ab,1/a+1/b),(1,bc,...

    Text Solution

    |

  16. If a,b,c gt1 then Delta=|(log(a)(abc),log(a)b,log(a)c),(logb(abc),1,lo...

    Text Solution

    |

  17. Prove that /\ |[a+bx, c+dx, p+qx],[-ax+b, cx+d, px+q],[u,v,w]|=(1-x^2...

    Text Solution

    |

  18. Let Delta=|(1,sin theta, 1),(-sin theta, 1, sin theta),(-1,-sin theta,...

    Text Solution

    |

  19. The determinat Delta=|(b^2-ab,b-c,bc-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-...

    Text Solution

    |

  20. If |{:(6i,-3i,1),(4,3i,1),(20,3,i):}|=x+iy,i=sqrt(-1) then

    Text Solution

    |