Home
Class 12
MATHS
If |z-(4)/(z)|=2 then the maximum value ...

If `|z-(4)/(z)|=2` then the maximum value of `|z|` is

A

1)`sqrt(5)`

B

2)`sqrt(5)+1`

C

3)`sqrt(5)-1`

D

4)none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If |z+4| le 3 , then the maximum value of |z+1| is

If |z+(4)/(z)|=2, find the maximum and minimum values of |z|.

If |z-2i|lesqrt(2), where i=sqrt(-1), then the maximum value of |3-i(z-1)|, is

If z is a complex number such that |z| ge 2 , then the minimum value of |z+(1)/(2)| .

If z is a complex number such that |z| gt 2 then the minimum value of |z+1/2|

The feasible region of an LPP is shown in the figure. If Z=11x+7y , thent he maximum value of Z occurs at

If z=(-2)/(1+sqrt(3) i) , then the value of arg z is

If |(z-2)/(z+2)|=(pi)/(6) , then the locus of z is

If Im((z-1)/(2 z+1))=-4 then the locus of z is

If |z_(1)| = 1, |z_(2)| =2, |z_(3)|=3, and |9z_(1)z_(2) + 4z_(1)z_(3)+ z_(2)z_(3)|= 12 , then find the value of |z_(1) + z_(2) + z_(3)| .

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  2. The conjugate of a complex number is (1)/(i-1). Then the complex numbe...

    Text Solution

    |

  3. If |z-(4)/(z)|=2 then the maximum value of |z| is

    Text Solution

    |

  4. If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha...

    Text Solution

    |

  5. The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

    Text Solution

    |

  6. If (omega ne 1) is a cube root of unity and (1+omega)^(7)=A+Bomega. Th...

    Text Solution

    |

  7. If |z|=1 and z ne pm 1, then all the values of (z)/(1-z^(2)) lie on

    Text Solution

    |

  8. Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on

    Text Solution

    |

  9. Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then...

    Text Solution

    |

  10. If |w|=1, then the set of points z=w+(1)/(w) is contained in or equal ...

    Text Solution

    |

  11. i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms =

    Text Solution

    |

  12. The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is

    Text Solution

    |

  13. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

    Text Solution

    |

  14. If |z|ltsqrt(2)-1, then |z^(2)+2 z cos alpha| is less than

    Text Solution

    |

  15. The area of the triangle on the complex plane formed by the complex nu...

    Text Solution

    |

  16. If z=x+i y, z^(1 / 3)=a-i b and (x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then th...

    Text Solution

    |

  17. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

    Text Solution

    |

  18. If Im((z-1)/(2 z+1))=-4 then the locus of z is

    Text Solution

    |

  19. If 1,a(1), a(2). ..., a(n-1) are n roots of unity, then the value of (...

    Text Solution

    |

  20. If |(z+i)/(z-i)|=sqrt(3), then the radius of the circle is

    Text Solution

    |