Home
Class 12
MATHS
If |z+4| le 3, then the maximum value of...

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

A

6

B

0

C

4

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If |z-(4)/(z)|=2 then the maximum value of |z| is

If z is a complex number such that |z| ge 2 , then the minimum value of |z+(1)/(2)| .

If |z-2i|lesqrt(2), where i=sqrt(-1), then the maximum value of |3-i(z-1)|, is

If z is a complex number such that |z| gt 2 then the minimum value of |z+1/2|

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

If |z|ge3, then determine the least value of |z+(1)/(z)| .

The feasible region of an LPP is shown in the figure. If Z=11x+7y , thent he maximum value of Z occurs at

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

For all complex numbers z_(1), z_(2) satisfying |z_(1)|=12 and |z_(2)-3-4 i|=5 , the minimum value of |z_(1)-z_(2)| is

If |z|=1 and z ne pm 1 , then all the values of (z)/(1-z^(2)) lie on

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The inequality |z-4|lt|z-2| represents the region given by

    Text Solution

    |

  2. If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(p...

    Text Solution

    |

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

    Text Solution

    |

  4. The conjugate of a complex number is (1)/(i-1). Then the complex numbe...

    Text Solution

    |

  5. If |z-(4)/(z)|=2 then the maximum value of |z| is

    Text Solution

    |

  6. If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha...

    Text Solution

    |

  7. The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

    Text Solution

    |

  8. If (omega ne 1) is a cube root of unity and (1+omega)^(7)=A+Bomega. Th...

    Text Solution

    |

  9. If |z|=1 and z ne pm 1, then all the values of (z)/(1-z^(2)) lie on

    Text Solution

    |

  10. Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on

    Text Solution

    |

  11. Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then...

    Text Solution

    |

  12. If |w|=1, then the set of points z=w+(1)/(w) is contained in or equal ...

    Text Solution

    |

  13. i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms =

    Text Solution

    |

  14. The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is

    Text Solution

    |

  15. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

    Text Solution

    |

  16. If |z|ltsqrt(2)-1, then |z^(2)+2 z cos alpha| is less than

    Text Solution

    |

  17. The area of the triangle on the complex plane formed by the complex nu...

    Text Solution

    |

  18. If z=x+i y, z^(1 / 3)=a-i b and (x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then th...

    Text Solution

    |

  19. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

    Text Solution

    |

  20. If Im((z-1)/(2 z+1))=-4 then the locus of z is

    Text Solution

    |