Home
Class 12
MATHS
If alpha,beta,gamma are the cube roots o...

If `alpha,beta,gamma` are the cube roots of p then for any `x,y` and `z` `(xalpha+ybeta+zgamma)/(xbeta+ygamma+zalpha)` is

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Continuity, Differentiability and Graph of Function

    A DAS GUPTA|Exercise Exercise|38 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma are the cube roots of p then for any x,y and z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha) is

If alpha,beta,gamma are the cube roots of p, then for any x,y,z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

If alpha,beta,gamma are the cube roots of p(p<0) then for any x,y and z,quad (x+y beta+z gamma)/(x beta+y gamma+z alpha)=(1)/(2)(-1-i sqrt(3))(b)(1)/(2)(1+i sqrt(3))(1)/(2)(1-i sqrt(3)) (d) None of these

If alpha,beta,gamma are cube roots of of p<0 then for any real x,y,z;(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

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

A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. If a+ib = x-iy then in terms of x,y we have a-ib = .

    Text Solution

    |

  2. If n is of the form 3m+2, 1+omega^(-11) +omega^(-2n) = where omega is...

    Text Solution

    |

  3. If alpha,beta,gamma are the cube roots of p then for any x,y and z (xa...

    Text Solution

    |

  4. The value of |sqrtalpha| , where alpha is a nonreal cube root of unity...

    Text Solution

    |

  5. If omega is a cube root of unity, then find the value of the following...

    Text Solution

    |

  6. Let the point P represent the complex number z. If OP is turned round ...

    Text Solution

    |

  7. |sqrtz|^4 = where z is a unimodular complex number.

    Text Solution

    |

  8. (z|barz|^2)/(barz|z|^2) = where z is a complex number of amplitude pi...

    Text Solution

    |

  9. ABCD is a rhombus. Its diagonals AC and BD intersect at the point M a...

    Text Solution

    |

  10. The angle that the vector representing the complex number 1/((sqrt3+i)...

    Text Solution

    |

  11. If |z| =2 then then the complex number 1/z is represented on a fixed .

    Text Solution

    |

  12. If z1 and z2 are two complex number and a, b, are two real number then...

    Text Solution

    |

  13. a and b are real numbers between 0 and 1 such that the points z1 =a+ i...

    Text Solution

    |

  14. If the complex number z1,z2 and z3 represent the vertices of an equila...

    Text Solution

    |

  15. If the real part of (z+4)/(2z+i) is 1/2 then the point z lies on .

    Text Solution

    |

  16. If a gt 0 ,b gt 0 then sqrt(-a) * sqrtb is equal to

    Text Solution

    |

  17. If i^2=-1 then the value of sum(n=1)^200 i^n is

    Text Solution

    |

  18. Find the smallest positive integer value of n for which ((1+i)^n)/((1-...

    Text Solution

    |

  19. The digit in the units place in the value of (727)^39 is

    Text Solution

    |

  20. If n is an integer, not a multiple of 3, the sum of w^n+w^(2n),w bein...

    Text Solution

    |