Home
Class 12
MATHS
If |z – 2 + i| ge2, then find the greate...

If `|z – 2 + i| ge2`, then find the greatest and least value of |z|.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt25+2&sqrt(5)-2`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -I) PREVIOUS YEAR - JEE MAIN|12 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 2 (LEVEL -II) MULTIPLE CORRECT - JEE ADVANCED|10 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

Similar Questions

Explore conceptually related problems

1.If |z-2+il=<2 then find the greatest and least value of z|

1.If |z-2+il=<2 then find the greatest and least value of z|

If |z+4|<=3 then find the greatest and least values of |z+1|

|z+3|<=3, then the greatest and least value of |z+1| are

If |z-2+iota|=2, then the greatest and least value of |z| are respectively

If |z^2-4|=2|z| then find the greatest value of |z|.

Let z be a complex number satisfying 1/2 le |z| le 4 , then sum of greatest and least values of |z+1/z| is :

MOTION-COMPLEX NUMBER -EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED
  1. Interpret the following locii in z in C. Im (z)ge1

    Text Solution

    |

  2. Interpret the following locii in z in C

    Text Solution

    |

  3. If |z – 2 + i| ge2, then find the greatest and least value of |z|.

    Text Solution

    |

  4. If |z + 3| le 3 then find minimum and maximum values of |z|

    Text Solution

    |

  5. If |z + 3| le 3 then find minimum and maximum values of |z-1|

    Text Solution

    |

  6. If |z + 3| le 3 then find minimum and maximum values of |z+1|

    Text Solution

    |

  7. If O is origin and affixes of P, Q, R are respectively z, iz, z + iz. ...

    Text Solution

    |

  8. If O is origin and affixes of P, Q, R are respectively z, iz, z + iz. ...

    Text Solution

    |

  9. The region represented by RE(z)<=2, Im(z)<=2 and pi/8<=arg(z)<=(3pi)/8...

    Text Solution

    |

  10. Let I Arg((z-8i)/(z+6))=pmpi/2 II: Re ((z-8i)/(z+6))=0 Show that ...

    Text Solution

    |

  11. if a and bbetween 0 and 1 such that the points (a, 1). (1, b) and (0, ...

    Text Solution

    |

  12. Find the non-zero complex numbers z satisfying z =i z^2dot

    Text Solution

    |

  13. If the complex numbers z1, z2,.......zn lie on te unit circle |z| = 1 ...

    Text Solution

    |

  14. Find the Cartesian equations of the locus of z in the complex plane sa...

    Text Solution

    |

  15. Prove that the complex numbers z1 and z2 and the origin form an isosce...

    Text Solution

    |

  16. If the complex number P(w) lies on the standard unit circle in an Arg...

    Text Solution

    |

  17. Let z=x+i y be a complex number, where xa n dy are real numbers. Let A...

    Text Solution

    |

  18. For all real numbers x, let the mapping f (x) = 1/(x-i). where i =sqrt...

    Text Solution

    |

  19. Given that |z-1|=1, where z is a point on the argand planne , show...

    Text Solution

    |

  20. Dividing f(z) by z- i, we obtain the remainder i and dividing it by z...

    Text Solution

    |