Home
Class 12
MATHS
If a, b, c are all different and |(a,a^...

If a, b, c are all different and `|(a,a^(3),a^(4)-1),(b,b^(3),b^(4)-1),(c,c^(3),c^(4)-1)|=0` then the value of `abc(ab+bc+ca)` is -

A

`a+b+c`

B

0

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

if a, b, c, are all distinct and |{:(a,a^3,a^4-1),(b,b^3,b^4-1),(c,c^3,c^4-1):}|=0 , show that abc(ab+bc+ca)=a+b+c.

If a , b ,c are all different and |[a,a^3,a^4-1],[b,b^3,b^4-1],[c,c^3,c^4-1]|=0, show that a b c(a b+b c+c a)=a+b+c

If D=|(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)-ab)| , then D is -

If a= b cos ""(2pi)/(3) = c cos ""(4pi)/(3), then the value of (ab+ bc +ca) is-

Without expanding prove that |{:(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)-ab):}|=0

Factorise : bc(b^(3)-c^(3))+ca(c^(3)-a^(3))+ab(a^(3)-b^(3))

If a^(1/3)+b^(1/3)+c^(1/3)=0 show that (a+b+c)^(3)=27 abc

If ab^2c^3,a^2b^3c^4,a^3b^4c^5 are in AP (a,b,cgt0) thgen the minimum value of a+b+c is

If (a-b), (b-c), (c-a) are in GP then prove that (a+b+c)^2 =3(ab+bc+ca)..

If |(b +c,c +a,a +b),(a +b,b +c,c +a),(c +a,a +b,b +c)| = k |(a,b,c),(c,a,b),(b,c,a)| , then the value of k, is 1 b. 2 c. 3 d. 4

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. the value of the determinant |(0, b^(3)-a^(3),c^(3)-a^(3)),(a^(3)-b...

    Text Solution

    |

  2. If a^(2)+b^(2)+c^(2)=-2 and f(x)=|(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),...

    Text Solution

    |

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

    Text Solution

    |

  4. If p ne 0, then the solutions of the equation |(1,1,x),(p+1,p+1,p+x),...

    Text Solution

    |

  5. If A and B are two square matrices and if A^(-1) and B^(-1) exist, th...

    Text Solution

    |

  6. If A=[(3,-5),(-4,2)], then the value of A^(2)-5A is equal to -

    Text Solution

    |

  7. If A=|(5,6,-3),(-4,3,2),(-4,-7,3)| then the cofactors of the elements ...

    Text Solution

    |

  8. If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)], then -

    Text Solution

    |

  9. If A=[(1,2),(2,3),(3,4)] and B=[(1,2),(2,1)], then -

    Text Solution

    |

  10. If A=[(2,-1),(0,1)] and B=[(1,0),(-1,-1)] then (A+B)^(2) is not equal ...

    Text Solution

    |

  11. If A be any n xx n matrix and k any scalar, then detkA is equal to -

    Text Solution

    |

  12. The probability that in a year of 22nd century chosen at rendom, ther...

    Text Solution

    |

  13. The probability that in a family of 5 members, exactly 2 members have...

    Text Solution

    |

  14. A bag contains 5 white and 3 black balls and 4 balls are successively ...

    Text Solution

    |

  15. The probability that A speaks truth is (4)/(5), while this probabili...

    Text Solution

    |

  16. Three distinct numbers are selected from first 100 natural numbers. Th...

    Text Solution

    |

  17. In a bolt factory three machines A, B and C manufacture respectively 2...

    Text Solution

    |

  18. If x gt 0, then the value of sin[cot^(-1)cos(tan^(-1)x)] is equal to -

    Text Solution

    |

  19. If theta=sin^(-1)[sin(-600^(@))], then one of the possible values of t...

    Text Solution

    |

  20. If vectors vecalpha,vecbeta, vecgamma are such that vecalpha+vecbeta+...

    Text Solution

    |