Home
Class 12
MATHS
For any complex number z, the minimum v...

For any complex number z, the minimum value of `|z|+|z-1|`, is

A

1

B

0

C

`1//2`

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • COMPLEX NUMBERS

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

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

Similar Questions

Explore conceptually related problems

For any complex number z find the minimum value of |z|+|z-2i|

For any complex number z, maximum value of |z|-|z-1| is

For a complex number z the minimum value of |z|+|z-cos alpha-i sin alpha| (where i=sqrt-1 ) is:

For any complex number minimum value of |z| - |z-1| is (A) 1 (B) 2 (C) 1/2 (D) 1/3

for any complex nuber z maximum value of |z|-|z-1| is (A) 0 (B) 1/2 (C) 1 (D) 3/2

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

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

If i^(2)=-1 , then for a complex number Z the minimum value of |Z|+|Z-3|+|Z+i|+|Z-3-2i| occurs at

Let z be a complex number. If the minimum value of |z|^2+|z-3|^2+|z-3i|^2 is lambda , then the value of 6lambda is (1) 23 (2) 42 (3) 72 (4) 84

If Z is a non-real complex number, then find the minimum value of | (Imz^5)/(Im^5z) |

OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n...

    Text Solution

    |

  2. If alpha\ a n d\ beta are different complex numbers with |beta|=1,\ fi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If the roots of (z-1)^n=i(z+1)^n are plotted in ten Arg and plane, the...

    Text Solution

    |

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

    Text Solution

    |

  7. If omega is a comples cube root of unity, then (1 - omega + omega^(2) ...

    Text Solution

    |

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

    Text Solution

    |

  9. If z=i log(2-sqrt(3)) then cosz

    Text Solution

    |

  10. If a=cos alpha+i sin alpha, b=cos beta+isin beta,c=cos gamma+i sin gam...

    Text Solution

    |

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

    Text Solution

    |

  12. The general value of the real angle θ, which satisfies the equation, (...

    Text Solution

    |

  13. State true or false for the following. If z is a complex number such...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Find the number of solutions of the equation z^(2)+|z|^(2)=0.

    Text Solution

    |

  17. The number of solutions of the equation z^(2) + barz =0 is .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The system of equation |z+1+i|=sqrt2 and |z|=3}, (where i=sqrt-1) ha...

    Text Solution

    |