Home
Class 12
MATHS
If abs(z+4) le 3, the maximum value of a...

If `abs(z+4) le 3`, the maximum value of `abs(z+1)` is

A

4

B

10

C

6

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 7|11 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If z is any complex number satisfying abs(z-3-2i) le 2 , where i=sqrt(-1) , then the maximum value of abs(2z-6+5i) , is

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

The minimum value of |2Z -1 | + | 3Z-2| is:

C is the complex numbers f:CrarrR is defined by f(z)=|z^(3)-z+2|. Find the maximum value of f(z),If|z|=1.

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(2)/(z))=4 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(3)/(z))=6 and sum of greatest and least values of abs(z) is 2lambda , then lambda^(2) , is

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(1)/(z))=2 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

If x^(2)+y^(2)+z^(2)=1"for " x,y,z inR, then the maximum value of x^(3)+y^(3)+z^(3)-3xyz is

The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

If z = 10, find the value of z^3 – 3(z – 10) .

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A man walks a distance of 3 units from the origin towards the North-...

    Text Solution

    |

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

    Text Solution

    |

  3. If abs(z+4) le 3, the maximum value of abs(z+1) is

    Text Solution

    |

  4. Let A, B, C be three sets of complex number as defined below: A={z:Img...

    Text Solution

    |

  5. What is 5% Equals to

    Text Solution

    |

  6. Express in the form of complex number i^9+i^(19)

    Text Solution

    |

  7. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  8. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  9. Let z = x + iy be a complex number where x and y are integers. Then...

    Text Solution

    |

  10. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

    Text Solution

    |

  11. If |z-4/z|=2 then the greatest value of |z| is:

    Text Solution

    |

  12. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

    Text Solution

    |

  13. Find the value of 2^4

    Text Solution

    |

  14. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

    Text Solution

    |

  15. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  16. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |

  17. The set {R e((2i z)/(1-z^2)): z is a complex number,|z|=1,z=+-1} is.

    Text Solution

    |

  18. The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

    Text Solution

    |

  19. Find the value of 3^4

    Text Solution

    |

  20. Let alpha and beta be real numbers and z be a complex number. If z^(2...

    Text Solution

    |