Home
Class 11
MATHS
If abs(z-2-2i)=1, then the minimum value...

If `abs(z-2-2i)=1`, then the minimum value of `absz` is

A

`2sqrt2-1`

B

`2sqrt2`

C

`2sqrt2+1`

D

`2sqrt2-2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos
  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

if z is any complex number satisfying abs(z-3-2i)le2 then the minimum value of abs(2z-6+5i) is

For all complex niumbers z_1, z_2 satisfying absz_1=12 and abs(z_2-3-4i)=5 , the minimum value of abs(z_1-z_2) is

The minimum value of |z-1|+|z-3| is

If abs(z-i)le2 and z_0=5+3i then the maximum value of abs(absiz+z_0) is

If abs(z+2)+abs(z-2)le6 then find the maximum value of abs(z)

If z is a complex number such that abszge2 then the minimum value of abs(z+1/2)

If iz^3+z^2-z+i=0 then the value of abs(z) is

If abs(z+3)le4 , then the max. value of absz is

If z^2+abs(z)^2=0 then find the imaginary value of z

If abszge3 then the least value of abs(z+i/z) is lambda/3 then the value of lambda is

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If z1=a+ib and z2=c+id, a, b, c, dinR, be two complex numbers such tha...

    Text Solution

    |

  2. The sum of the series 2(omega+1)(omega^2+1)+3(2omega+1)(2omega^2+1)+...

    Text Solution

    |

  3. If abs(z-2-2i)=1, then the minimum value of absz is

    Text Solution

    |

  4. The point represented by the complex number 2-i is rotated about origi...

    Text Solution

    |

  5. z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...

    Text Solution

    |

  6. For all complex numbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5,...

    Text Solution

    |

  7. if z and w are two non-zero complex numbers such that absz=absw and ar...

    Text Solution

    |

  8. If z1, z2, z3, z4 represent the vertices of a rhombus in anticlockwise...

    Text Solution

    |

  9. If (x+iy)^7=a+ib, then (y+ix)^7 is equal to

    Text Solution

    |

  10. (1+i)^(n1)+(1+i^3)^(n1)+(1+i^5)^(n2)+(1+i^7)^(n2) is a real number if

    Text Solution

    |

  11. The value of underset(k=1)overset10sum(-sin((2kpi)/11)+icos((2kpi)/11)...

    Text Solution

    |

  12. If amp(z1z2)=0 and absz1=absz2=1, then

    Text Solution

    |

  13. if z1, z2, z3 are the vertices pf an equilateral triangle inscribed in...

    Text Solution

    |

  14. if amp (z-1)/(z+1)=pi/3, then the locus of z is

    Text Solution

    |

  15. If e^(ialpha)=cosalpha+isinalpha, then for the DeltaABC, the value of ...

    Text Solution

    |

  16. The equation zbarz+(4-3i)z+(4+3i)barz+5=0 represents a circle of radiu...

    Text Solution

    |

  17. Let z1 and z2 be two distinct complex numbers and let z= (1-t)z1+tz2 f...

    Text Solution

    |

  18. The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...

    Text Solution

    |

  19. The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...

    Text Solution

    |

  20. LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...

    Text Solution

    |