Home
Class 12
MATHS
The greatest and the least absolute valu...

The greatest and the least absolute value of z+1 where |z+4| `le`3 are _______ and _______ .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos
  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos
  • Continuity, Differentiability and Graph of Function

    A DAS GUPTA|Exercise Exercise|38 Videos

Similar Questions

Explore conceptually related problems

The greatest and the least absolute value of z+1, where |z+4| le 3 are respectively

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

The greatest and least value of |z| if z satisfies |z-5+5i|<=5 are

The greatest and least value of principal value of argz if z satisfies |z-4-4i|<=4 are

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

Find the greatest and the least value of |z_(1)+z_(2)| if z_(1)=24+7i and |z_(2)|=6

A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. In the Argand plane, the vector z = 4 - 3i is turned in the clockwise ...

    Text Solution

    |

  2. The value of i^103 + i^(-99) = where i = sqrt(-1) .

    Text Solution

    |

  3. The greatest and the least absolute value of z+1 where |z+4| le3 are ...

    Text Solution

    |

  4. If a+ib = x-iy then in terms of x,y we have a-ib = .

    Text Solution

    |

  5. If n is of the form 3m+2, 1+omega^(-11) +omega^(-2n) = where omega is...

    Text Solution

    |

  6. If alpha,beta,gamma are the cube roots of p then for any x,y and z (xa...

    Text Solution

    |

  7. The value of |sqrtalpha| , where alpha is a nonreal cube root of unity...

    Text Solution

    |

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

    Text Solution

    |

  9. Let the point P represent the complex number z. If OP is turned round ...

    Text Solution

    |

  10. |sqrtz|^4 = where z is a unimodular complex number.

    Text Solution

    |

  11. (z|barz|^2)/(barz|z|^2) = where z is a complex number of amplitude pi...

    Text Solution

    |

  12. ABCD is a rhombus. Its diagonals AC and BD intersect at the point M a...

    Text Solution

    |

  13. The angle that the vector representing the complex number 1/((sqrt3+i)...

    Text Solution

    |

  14. If |z| =2 then then the complex number 1/z is represented on a fixed .

    Text Solution

    |

  15. If z1 and z2 are two complex number and a, b, are two real number then...

    Text Solution

    |

  16. a and b are real numbers between 0 and 1 such that the points z1 =a+ i...

    Text Solution

    |

  17. If the complex number z1,z2 and z3 represent the vertices of an equila...

    Text Solution

    |

  18. If the real part of (z+4)/(2z+i) is 1/2 then the point z lies on .

    Text Solution

    |

  19. If a gt 0 ,b gt 0 then sqrt(-a) * sqrtb is equal to

    Text Solution

    |

  20. If i^2=-1 then the value of sum(n=1)^200 i^n is

    Text Solution

    |