Home
Class 12
MATHS
If alphaand betaare different complex n...

If `alpha`and `beta`are different complex numbers with `|beta|=1,`then find `|(beta-alpha)/(1- baralphabeta)|`.

A

0

B

8

C

2

D

2

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|15 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta Are different complex number with |alpha|=1, then what is |(alpha- beta)/(1-alpha beta)| equal to ?

If alpha,beta are different complex numbers with | beta|=1 then |(alpha-beta)/(1-alphabar(beta))|=(i)0(ii)(1)/(2)(iii)1(iv)2

If alpha and beta are complex numbers then the maximum value of (alpha barbeta+baralphabeta)/(|alpha beta|)=

If alpha and beta are the complex cube roots of unity, then what is the vlaue of (1+alpha)(1+beta)(1+alpha^(2))(1+beta^(2)) ?

OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. (1+i)^8+(1-i)^8=?

    Text Solution

    |

  2. What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n...

    Text Solution

    |

  3. If alphaand betaare different complex numbers with |beta|=1,then fin...

    Text Solution

    |

  4. For any complex number z, the minimum value of |z|+|z-1|

    Text Solution

    |

  5. If (3pi)/(2) gt alpha gt 2 pi, find the modulus and argument of (1 -...

    Text Solution

    |

  6. If the roots of (z-1)^n=i(z+1)^n are plotted in ten Argand plane, then...

    Text Solution

    |

  7. Area of the triangle formed by 3 complex numbers, 1+i,i-1,2i, in the A...

    Text Solution

    |

  8. If omega is a complex cube root of unity, then (1-omega+omega^(2))^(6...

    Text Solution

    |

  9. The locus represented by the equation |z-1| = |z-i| is

    Text Solution

    |

  10. If z=i log(23,t h e ncosz= -1 b. -1//2 c. 1 d. 1//2

    Text Solution

    |

  11. If alpha=cos alpha+i sin alpha, b=cos beta+isin beta,c=cos gamma+i sin...

    Text Solution

    |

  12. lf z1,z2,z3 are vertices of an equilateral triangle inscribed in the c...

    Text Solution

    |

  13. The general value of theta which satisfies the equation (costheta+isin...

    Text Solution

    |

  14. If z is a complex numbers such that z ne 0 and "Re"(z)=0, then

    Text Solution

    |

  15. If z + z^(-1)= 1, then find the value of z^(100) + z^(-100).

    Text Solution

    |

  16. Let A,B and C represent the complex number z1, z2, z3 respectively on ...

    Text Solution

    |

  17. Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is

    Text Solution

    |

  18. The number of solutions of the equation z^2+z=0 where z is a a complex...

    Text Solution

    |

  19. The centre of a square is at the origin and one of the vertex is 1-i e...

    Text Solution

    |

  20. Let za n domega be two complex numbers such that |z|lt=1,|omega|lt=1a ...

    Text Solution

    |