Home
Class 12
MATHS
The largest value of r for which the reg...

The largest value of `r` for which the region represented by the set `{omega in CC //|omega - 4-i| lt= r}` is contained in the region represented by the set `{z in CC //|z-1| lt= |z+i|},` is equal to

A

`sqrt(17)`

B

`sqrt(2)`

C

`(3)/(2) sqrt(2)`

D

`(5)/(2) sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE NUMERICAL ANSWER TYPE QUESTIONS|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

The largest value of r for which the region represented by the set {omega in C/| omega-4-i|<=r} is contained in the region represented by the set {z in C/|z-1|<=|z+i|}, is equal to

The locus represented by the equation |z-1|=|z-i| is

The locus represented by the equation |z-1|=|z-i| is

The region represented by the inequality |2z-3i|<|3z-2i| is

The locus represented by |z-1|=|z+i| is:

The area of the region represented by r<=|z-2|<=5 where z is a complex number is 9 pi then the value of r is

The set of points z |z-i|z||=|z+i|z|| is contained in or equal to

The set of values of k for which the equation zbarz+(-3+4i)barz-(3+4i)z+k=0 represents a circle, is

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. For all complex numbers z of the form 1 + ialpha, alpha in "R if z"^(2...

    Text Solution

    |

  2. A complex number z is said to be uni-modular if |z|=1. Suppose z(1) a...

    Text Solution

    |

  3. The largest value of r for which the region represented by the set {om...

    Text Solution

    |

  4. If Z is a non-real complex number, then find the minimum value of (Imz...

    Text Solution

    |

  5. A value of for which (2+3isintheta)/(1-2isintheta) purely imaginary, ...

    Text Solution

    |

  6. The point represented by 2+i in the Argand plane moves 1 unit eastward...

    Text Solution

    |

  7. Let z=1+ai be a complex number, a > 0,such that z^3 is a real number....

    Text Solution

    |

  8. Let zinC, the set of complex numbers. Thenthe equation, 2|z +3i| - |z...

    Text Solution

    |

  9. The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a ...

    Text Solution

    |

  10. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  11. The set of all alpha in R for which w = (1+(1-8 alpha)z)/(1-z)is a pur...

    Text Solution

    |

  12. If |z - 3+ 2i| leq 4, (where i = sqrt-1) then the difference of grea...

    Text Solution

    |

  13. The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n)...

    Text Solution

    |

  14. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |

  15. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |

  16. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |

  17. If z=(sqrt3/2+i/2)^5+(sqrt3/2-i/2)^5, then

    Text Solution

    |

  18. If x,y are real and (-2-i/3)^3=(x+iy)/27 then value of y-x is equal to...

    Text Solution

    |

  19. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  20. Let Z(1) and Z(2) be two complex numbers satisfying |Z(1)|=9 and |Z(2)...

    Text Solution

    |