Home
Class 12
MATHS
Let w ne pm 1 be a complex number. If |w...

Let `w ne pm 1` be a complex number. If `|w|=1" and "z=(w-1)/(w+1)`, then Re(z) is equal to

A

`1`

B

`(1)/(|w+1|)`

C

`Re(w)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

z and omega are two nonzero complex number such that |z|=|omega|" and "Argz+Arg omega= pi then z equals

If z and omega are two non-zero complex numbers such that |z omega|=1" and "arg(z)-arg(omega)=(pi)/(2) , then bar(z)omega is equal to

Let z ne 1 be a complex number and let omeg= x+iy, y ne 0 . If (omega- bar(omega)z)/(1-z) is purely real, then |z| is equal to

If 1,z_1,z_2,z_3,.......,z_(n-1) be the n, nth roots of unity and omega be a non-real complex cube root of unity, then prod _(r=1)^(n-1) (omega-z_r) can be equal to

If omega=(z)/(z-(1/3)i)" and "|omega|=1 , then z lies on

Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 and |z-iomega|=|z-i bar omega|=2, then z equals (a) 1ori (b). ior-i (c). 1or-1 (d). ior-1

Let za n dw be two nonzero complex numbers such that |z|=|w|a n d arg(z)+a r g(w)=pidot Then prove that z=- bar w dot

Let omega be a complex number such that 2omega+1=z where z=sqrt(-3.) If|1 1 1 1-omega^2-1omega^2 1omega^2omega^7|=3k , then k is equal to : -1 (2) 1 (3) -z (4) z

If w=z/[z-(1/3)i] and |w|=1, then find the locus of z

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The product of the roots of the equation x|x|-5x-6=0 is equal to

    Text Solution

    |

  2. If z=((sqrt(3)+i)^(3)(3i+ 4)^(2))/((8+6i)^(2)), then |z| is equal to

    Text Solution

    |

  3. Let w ne pm 1 be a complex number. If |w|=1" and "z=(w-1)/(w+1), then ...

    Text Solution

    |

  4. If z= e^((2pi i)/(3)), then 1+z+3z^(2)+2z^(3)+2z^(4)+3z^(5) is equal t...

    Text Solution

    |

  5. If z(1)= 2sqrt(2)(1+i)" and "z(2)=1+isqrt(3), then z(1)^(2)z(2)^(3) is...

    Text Solution

    |

  6. If the complex numbers z(1), z(2)" and "z(3) denote the vertices of an...

    Text Solution

    |

  7. If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^...

    Text Solution

    |

  8. If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0, then alpha^(2)+...

    Text Solution

    |

  9. If alpha" and "beta are the roots of the equation x^(2)+3x-4=0, then ...

    Text Solution

    |

  10. The value of x such that 3^(2x)-2(3^(x+2))+81=0 is

    Text Solution

    |

  11. If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " the...

    Text Solution

    |

  12. The equation whose roots are the squares of the roots of the eqation 2...

    Text Solution

    |

  13. z and omega are two nonzero complex number such that |z|=|omega|" and ...

    Text Solution

    |

  14. If |z-4| lt |z-2|, its solution is given by

    Text Solution

    |

  15. The locus of the centre of a circle which touches the circle |z-z(1)|=...

    Text Solution

    |

  16. If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 th...

    Text Solution

    |

  17. Difference between the corresponding roots of x^(2)+ax+b=0" and "x^(2)...

    Text Solution

    |

  18. Product of real roots of the equation x^(2)+|x|+9=0

    Text Solution

    |

  19. If p and q are the roots of the equation x^(2)+px+q=0, then

    Text Solution

    |

  20. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

    Text Solution

    |