Home
Class 12
MATHS
If z is a complex number such that |z|>=...

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

A

is strictly greater than 5/2

B

is strictly greater that 3/2 but less than 5/2

C

is equal to 5/2

D

lies in the interval (1, 2)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE NUMERICAL ANSWER TYPE QUESTIONS|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

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

Let z be a complex number such that |z|=2 . Then the maximum value of |z+(1)/(z)| is

If z is a complex number satisfying |z^(2)+1|=4|z| , then the minimum value of |z| is

If z is a complex number such that abs(z)le1 then minimum value of abs(z+1/2(3+4i)) is equal to

If z be the complex number such that |z+(1)/(z)|=2 then minimum value of (|z|)/(tan((pi)/(8))) is

z is a complex number such that z^(2)+z+1=0 .Then the value of z^(30) is

If z is a complex number, then the minimum value of |z - 2.8| + |z - 1.42| is ____________

If z is a complex number,then find the minimum value of |z|+|z-1|+|2z-3|

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Let a = Im((1+z^(2))/(2iz)), where z is any non-zero complex number. T...

    Text Solution

    |

  2. If a complex number z satisfies z + sqrt(2) |z + 1| + i=0, then |z| is...

    Text Solution

    |

  3. If z is a complex number such that |z|>=2 then the minimum value of |z...

    Text Solution

    |

  4. Let w(Im w != 0) be a complex number. Then the set of all complex num...

    Text Solution

    |

  5. If z(1),z(2) and z(3),z(4) are two pairs of conjugate complex numbers ...

    Text Solution

    |

  6. Let z!=i be any complex number such that (z-i)/(z+i) is a purely imagi...

    Text Solution

    |

  7. For all complex numbers z of the form 1 + ialpha, alpha in "R if z"^(2...

    Text Solution

    |

  8. A complex number z is said to be uni-modular if |z|=1. Suppose z(1) a...

    Text Solution

    |

  9. The largest value of r for which the region represented by the set {om...

    Text Solution

    |

  10. If Z is a non-real complex number, then find the minimum value of (Imz...

    Text Solution

    |

  11. A value of for which (2+3isintheta)/(1-2isintheta) purely imaginary, ...

    Text Solution

    |

  12. The point represented by 2+i in the Argand plane moves 1 unit eastward...

    Text Solution

    |

  13. Let z=1+ai be a complex number, a > 0,such that z^3 is a real number....

    Text Solution

    |

  14. Let zinC, the set of complex numbers. Thenthe equation, 2|z +3i| - |z...

    Text Solution

    |

  15. The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a ...

    Text Solution

    |

  16. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  17. The set of all alpha in R for which w = (1+(1-8 alpha)z)/(1-z)is a pur...

    Text Solution

    |

  18. If |z - 3+ 2i| leq 4, (where i = sqrt-1) then the difference of grea...

    Text Solution

    |

  19. The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n)...

    Text Solution

    |

  20. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |