Home
Class 12
MATHS
If |z -25i| le 15 then | maximum amp(z) ...

If `|z -25i| le 15` then | maximum amp(z) - minimum amp(z)|is equal to

A

`cos^(-1)(3/5)`

B

`pi-2cos^(-1)(-3/5)`

C

`pi/2+cos^(-1)(3/5)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|129 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

If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals

if |z-2i| le sqrt2 , then the maximum value of |3+i(z-1)| is :

Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is minimum, then z is equal to

If |z-25i|le15 , then find (i) Maximum |z| (2) Maximum arg (z) (3) minimum |z| (4) Minimum arg (z)

If 0ltamp(z)ltpi,' then 'amp(z)-amp(-z) is equal to

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

Refers to question 7, maximum value of Z+minimum value of Z is equal to

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

If |z-1|+|z+3|le8, then the maximum, value of |z-4| is =

If |z+(4)/(z)|=2, find the maximum and minimum values of |z|.

OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Chapter Test
  1. If z lies on the circle |z-1|=1, then (z-2)/z is

    Text Solution

    |

  2. If a gt 0 and the equation |z-a^(2)|+|z-2a|=3, represents an ellipse, ...

    Text Solution

    |

  3. For any complex number z , find the minimum value of |z|+|z-2i|dot

    Text Solution

    |

  4. Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. If k gt 1, |z(1)| lt k and |(k-z(1)barz(2))/(z(1)-kz(2))|=1, then

    Text Solution

    |

  7. If |z-i|=1 and arg (z) =theta where 0 lt theta lt pi/2, then cottheta-...

    Text Solution

    |

  8. If Re(z)<0 then the value of (1+z+z^2+.....+z^n) cannot exceed

    Text Solution

    |

  9. If z 1 ​ and z 2 ​ are two non zero complex numbers such that ...

    Text Solution

    |

  10. a and b are real numbers between 0 and 1 such that the points Z1 =a+ i...

    Text Solution

    |

  11. If omega is a cube root of unity, then find the value of the following...

    Text Solution

    |

  12. If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...

    Text Solution

    |

  13. If z=re^(itheta) then |e^(iz)| is equal to:

    Text Solution

    |

  14. If a complex number z lies in the interior or on the boundary of a cir...

    Text Solution

    |

  15. Let z1 and z2 be two non - zero complex numbers such that z1/z2+z2/z...

    Text Solution

    |

  16. If z(1),z(2),z(3) be vertices of an equilateral triangle occurig in th...

    Text Solution

    |

  17. Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is min...

    Text Solution

    |

  18. If |z -25i| le 15 then | maximum amp(z) - minimum amp(z)|is equal to

    Text Solution

    |

  19. Let z be a complex number (not lying on x-axis) of maximum modulus suc...

    Text Solution

    |

  20. The maximum distance from the origin of coordinates to the point z sat...

    Text Solution

    |