Home
Class 11
MATHS
If |z+4|lt=3 then find the greatest and ...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA ENGLISH|Exercise All Questions|117 Videos

  • DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

1. If |z-2+i| ≤ 2 then find the greatest and least value of | z|

1. If |z-2+i|≤ 2 then find the greatest and least value of | z|

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

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

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

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_1-1|lt=,|z_2-2|lt=2,|z_(33)|lt=3, then find the greatest value of |z_1+z_2+z_3|dot

If a complex number z lies in the interior or on the boundary of a circle or radius 3 and center at (-4,0) , then the greatest and least values of |z+1| are

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 :

If |z - 3+ 2i| leq 4 , (where i = sqrt-1 ) then the difference of greatest and least values of |z| is

RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. Write the value of sqrt(-25)xxsqrt(-9)dot

    Text Solution

    |

  2. Write the value of a r g(z)+a r g( barz ) .

    Text Solution

    |

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

    Text Solution

    |

  4. For any two complex numbers z1\ a n d\ z2 and any two real numbers a ,...

    Text Solution

    |

  5. If n in NN ,then find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3).

    Text Solution

    |

  6. Find the real value of a for which 3i^3-2a i^2+(1-a)i+5 is real.

    Text Solution

    |

  7. If |z|=2 and arg (z)=pi/4 , find z.

    Text Solution

    |

  8. Write the argument of (1+isqrt(3))(1+i)(costheta+isintheta).

    Text Solution

    |

  9. The value of (1+i)(1+i^2)(1+i^3)(1+i^4) is a. 2 b. 0 c. 1 d. i

    Text Solution

    |

  10. If (3+2i sintheta)/(1-2i sintheta) is a real number and 0lt theta lt 2...

    Text Solution

    |

  11. If sqrt(a+i b)=x+i y ,\ then possible value of sqrt(a-i b) is a. x^2+...

    Text Solution

    |

  12. If z=cos(pi/4)+isin(pi/6) , then a. |z|=1, arg(z)=\ pi/4 b. |z|=1, arg...

    Text Solution

    |

  13. The polar form of (i^(25))^3 is a. cos(pi/2)+isin(pi/2) b. cospi+i\ si...

    Text Solution

    |

  14. If i^2=-1, then the sum i+i^2+i^3+... upto 1000 terms is equal to a. 1...

    Text Solution

    |

  15. If z=(-2)/(1+isqrt(3)) , then the value of "arg"(z) is a. pi b. pi/4 c...

    Text Solution

    |

  16. If a=costheta+isintheta, then (1+a)/(1-a) is: (a). cot(theta/2) (b). ...

    Text Solution

    |

  17. If (1+i)(1+2i)(1+3i)...(1+n i)=a+i b , then the value of; 2. 5. 10. 17...

    Text Solution

    |

  18. If ((a^2+1)^2)/(2a-i)=x+i y , then x^2+y^2 is equal to a. ((a^2+1)^4)/...

    Text Solution

    |

  19. The principal value of the amplitude of (1+i) is A. pi B. pi/(12) C...

    Text Solution

    |

  20. The least positive integer n such that ((2i)/(1+i))^n is a positive in...

    Text Solution

    |