Home
Class 11
MATHS
If alpha, beta, gamma are the cube roots...

If `alpha, beta, gamma` are the cube roots of 8 , then `|(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=`

A

0

B

1

C

8

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    OBJECTIVE RD SHARMA|Exercise Exercise|94 Videos

  • CONIC SECTIONS

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|1 Videos

  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|40 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma are the roots of x^(3)+2x^(2)+3x+8=0 then (alpha+beta)(beta+gamma)(gamma+alpha)=

If alpha, beta, gamma are the roots of x^(3)-px^(2)+qx-r=0 then (alpha+beta)(beta+gamma)(gamma+alpha) =

If alpha, beta, gamma are the roots of x^3+px^2+qx+r=0 then alpha^(2)(beta+gamma)+beta^(2)(gamma+alpha)+gamma^(2)(alpha+beta)=

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

If alpha, beta and gamma are the roots of the equation x^(3) + px + q = 0 (with p != 0 and p != 0 and q != 0 ), the value of the determinant |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

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

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)

OBJECTIVE RD SHARMA-DETERMINANTS-Chapter Test
  1. The roots of the equation |(3x^(2),x^(2) + x cos theta + cos^(2) the...

    Text Solution

    |

  2. |(bc,bc'+b'c,b'c'),(ca,ca'+c'a,c'a'),(ab,ab'+a'b,a'b')| is equal to

    Text Solution

    |

  3. If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamm...

    Text Solution

    |

  4. One root of the equation |(3x-8, 3, 3),(3,3x-8, 3),(3,3,3x-8)|=0 is

    Text Solution

    |

  5. If a,b,c are non-zero real numbers then D=|[b^2 c^2, bc, b+c] , [c^2a^...

    Text Solution

    |

  6. If x, y , z are in A.P., then the value of the det (A) is , where A ...

    Text Solution

    |

  7. The value of |(b +c,a,a),(b,c +a,b),(c,c,a +b)|, is

    Text Solution

    |

  8. If a , b , c are non-zero real numbers and if the system of equations ...

    Text Solution

    |

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

    Text Solution

    |

  10. The value of Delta = |(1^(2),2^(2),3^(2)),(2^(2),3^(2),4^(2)),(3^(2),4...

    Text Solution

    |

  11. The value of Delta = |(a,a +b,a +2b),(a +2b,a,a +b),(a +b,a +2b,a)| is...

    Text Solution

    |

  12. If all the elements in a square matrix A of order 3 are equal to 1 or ...

    Text Solution

    |

  13. The roots of the equation |(1,4,20),(1,-2,5),(1,2x,5x^(2))| = 0 are

    Text Solution

    |

  14. If f(x) = |(sin x,cos x,tan x),(x^(3),x^(2),x),(2x,1,1)|, " then " lim...

    Text Solution

    |

  15. If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1...

    Text Solution

    |

  16. If |(x,2,3),(2,3,x),(3,x,2)|=|(1,x,4),(x,4,1),(4,1,x)|=|(0,5,x),(5,x,0...

    Text Solution

    |

  17. If |(a +x,a -x,a -x),(a -x,a +x,a -x),(a -x,a -x,a +x)| = 0, then x is...

    Text Solution

    |

  18. If Delta(1) = |(7,x,2),(-5,x +1,3),(4,x,7)| and Delta(2) = |(x,2,7),(x...

    Text Solution

    |

  19. If Delta = |(10,4,3),(17,7,4),(4,-5,7)|, Delta(2) = |(4,x +5,3),(7,x +...

    Text Solution

    |

  20. If |(a,a +d,a +2d),(a^(2),(a + d)^(2),(a + 2d)^(2)),(2a + 3d,2 (a +d),...

    Text Solution

    |