Home
Class 12
MATHS
If alpha, beta, gamma are the roots of x...

If `alpha, beta, gamma` are the roots of `x^(3) + ax^(2) + b = 0`, then the value of `|(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|`, is

A

a

B

b

C

`a^(3)`

D

`b^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta, gamma are roots of x^(3)-2x^(2)+7x-1=0 then the value of (alpha+beta-gamma) (beta+gamma-alpha) (alpha+gamma-beta)

If alpha, beta, gamma are the roots of x^(3)+ax+b=0 , then find the value of alpha^(3)+beta^(3)+gamma^(3) .

If alpha,beta& gamma are the roots of the equation x^(3)+px+q=0, then the value of the det[[alpha,beta,gammabeta,gamma,alphagamma,alpha,beta]] is

If alpha, beta, gamma are the roots of ax ^ (3) + bx ^ (2) + cx + d = 0 and det [[alpha, beta, gammabeta, gamma, alphagamma, alpha, beta]] = 0, alpha ! = beta! = gamma, alpha + beta-gamma, beta + gamma-alpha, and gamma + alpha-beta

If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of |{:(alpha, beta ,gamma),(gamma,alpha ,beta),(beta,gamma ,alpha):}| is equal to

Suppose alpha,beta,gamma are the roots of x^(3)+x^(2)+x+2=0 then the value of ((alpha+beta-2 gamma)/(gamma))((beta+gamma-2 alpha)/(alpha))((gamma+alpha-2 beta)/(beta))

If alpha,beta & gamma are the roots the equations x^(3)+px+q=0 then the value of the determinant [{:(,alpha,beta,gamma),(,beta,gamma,alpha),(,gamma,alpha,beta):}]

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. The solution set of the equation |{:(1,4,20),(1,-2,5),(1,2x,5x^(2)):}|...

    Text Solution

    |

  2. The system of equations lambdax+y+z=0,-x+lambday+z=0,-x-y+lambdaz=0 wi...

    Text Solution

    |

  3. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

    Text Solution

    |

  4. Number of solutions of Re(z^(2))=0 and |Z|=a sqrt(2), where z is a com...

    Text Solution

    |

  5. If (1+ i sqrt(3))^(1999)=a+ib, then

    Text Solution

    |

  6. If z is a complex number satisfying the equation z^6 +z^3 + 1 = 0. If ...

    Text Solution

    |

  7. The value of (1)/(81^(n))-(10)/(81^(n)).""^(2n)C(2)-(10^(3))/(81^(n))....

    Text Solution

    |

  8. The unit digit of (3+sqrt(5))^(2013)+(3-sqrt(5))^(2013) is

    Text Solution

    |

  9. 3""^(n)C(0)+10""^(n)C(1)+28""^(n)C(2)+82""^(n)C(3)+…(n+1) terms =

    Text Solution

    |

  10. A and B are two non-singular square matrices of each 3xx3 such that AB...

    Text Solution

    |

  11. A, B, C are three non-zero matrices such that ABC = O, which of the fo...

    Text Solution

    |

  12. If A is skew symmetric matrix, then I - A is (where I is identity matr...

    Text Solution

    |

  13. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  14. Let M(n)=[m("ij")] denotes a square matrix of order n with entries as ...

    Text Solution

    |

  15. If A+B+C=pi, then the value of determinant |{:(sin^(2)A, cotA,1),(sin^...

    Text Solution

    |

  16. The product of all values of t , for which the system of equations (a-...

    Text Solution

    |

  17. The value of a for which the system of equations , a^(3)x + (a + 1)^(3...

    Text Solution

    |

  18. The number of 'n' digit numbers such that no two consecutive digits ar...

    Text Solution

    |

  19. The number of permutations {a(1),a(2),…,a(10)} of {1,2,3,…,10} satisfy...

    Text Solution

    |

  20. You are given an unlimited supply of each of the digits 1, 2, 3, or 4....

    Text Solution

    |