Home
Class 12
MATHS
If |z-2 + i|le2, then the greatest value...

If |z-2 + i|`le`2, then the greatest value of |z| is

A

`sqrt3-2`

B

`sqrt3+2`

C

`sqrt5-2`

D

`sqrt5+2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - II|20 Videos
  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - III|20 Videos
  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS)|6 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If | z - (3)/(z) | = 2, then the least value of |z| is

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

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

If z is any complex number satisfying |z-3-2i|lt=2 then the maximum value of |2z-6+5i| is

If x+y+z=5 and x y+y z+z x=3 , then the greatest value of (x) is

If |z_1-1|lt=1,|z_2-2|lt=2,|z_(3)-3|lt=3, then find the greatest value of |z_1+z_2+z_3|dot

If |z = (2)/(z)| = 2. show that the greatest and least value of |z| are sqrt(3)+1 and sqrt(3) - 1 respectively.

Suppose that z is a complex number that satisfies |z-2-2i|lt=1. The maximum value of |2i z+4| is equal to _______.

SURA PUBLICATION-MODAL QUESTION PAPER-PART - I
  1. If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then"...

    Text Solution

    |

  2. If adj A = [(2,3),(4,-1)] and adj B = [(1,-2),(-3,1)] then adj (AB) is

    Text Solution

    |

  3. If |z-2 + i|le2, then the greatest value of |z| is

    Text Solution

    |

  4. If x^(2)+y^(2)=1, then the value of (1+x+iy)/(1+x-iy).

    Text Solution

    |

  5. The product of all four values of (cos"" (pi)/(3) + i sin ""(pi)/(3))^...

    Text Solution

    |

  6. The polynomial x^(3)+2x+3 has :

    Text Solution

    |

  7. The value of sin^(-1)(cosx),0lexlepi is

    Text Solution

    |

  8. An ellipse has OB, as semi minor axis, F and F' its foci and the angle...

    Text Solution

    |

  9. The vertex of the parabola x^(2)=8y-1 is :

    Text Solution

    |

  10. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

    Text Solution

    |

  11. The angle between the lines (x-2)/(3)=(y+1)/(-2),z=2and(x-1)/(1)=(2y+3...

    Text Solution

    |

  12. A stone is thrown up vertically. The height it reaches at time t secon...

    Text Solution

    |

  13. The value of the limit lim(xto0)(cotx-1/x) is

    Text Solution

    |

  14. If f(x,y) =e^(xy), then (del^(2)f)/(del x del y) is equal to

    Text Solution

    |

  15. The value of int(-(pi)/(4))^((pi)/( 4)) ((2x^(7) - 3x^(5) + 7 x^(3) -...

    Text Solution

    |

  16. The value of int(0)^((pi)/(6)) cos ^(3) 3x dx

    Text Solution

    |

  17. The value of int(0)^(pi)dx/(1+5^(cosx)) is :

    Text Solution

    |

  18. The solution of the differential equation (dy)/(dx)+(1)/(sqrt(1-x^(2))...

    Text Solution

    |

  19. If sinx is the integrating factor of the linear differential equation ...

    Text Solution

    |

  20. The order and degree of the differential equation [x+y']^(2)=(y')^(2)

    Text Solution

    |