Home
Class 12
MATHS
If |z-25i| lt= 15. then |"maximum " arg(...

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

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|Exercise Exercise|131 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

Similar Questions

Explore conceptually related problems

If |z-25i|le15 , then |maximum arg(z) - minimum arg(z)| equals (A) (pi)/(2)+cos^(-1)((3)/(5)) (B) sin^(-1)((3)/(5))-cos^(-1)((3)/(5)) (C) 2cos^(-1)((4)/(5)) (D) 2cos^(-1)((1)/(5))

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

If |z-25i|<=15, then value of max(arg(z))

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

Among the complex numbers z ,which satisfies |z-25i<=15 then |max.arg z - min arg z| is pi-2tan^(-1)((l)/(m)) then l+m is

If arg(z) lt 0, then find arg(-z) -arg(z) .

OBJECTIVE RD SHARMA-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. For all complex numbers z1, z2 satisfying |z1| =12 and |z2-3-4i|=5, ...

    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. Let z(1),z(2),z(3) be three complex numbers satisfying 1/z(1)+1/z(2)+1...

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

    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

    |