Home
Class 11
MATHS
if z is any complex number satisfying ab...

if z is any complex number satisfying `abs(z-3-2i)le2` then the minimum value of `abs(2z-6+5i)` is

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If abs(z-2-2i)=1 , then the minimum value of absz is

If z is a complex number such that abszge2 then the minimum value of abs(z+1/2)

If abs(z+2)+abs(z-2)le6 then find the maximum value of abs(z)

If abs(z-i)le2 and z_0=5+3i then the maximum value of abs(absiz+z_0) is

If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of possible values of z is

For all complex niumbers z_1, z_2 satisfying absz_1=12 and abs(z_2-3-4i)=5 , the minimum value of abs(z_1-z_2) is

Suppose that z is a complex number the satisfies |z-2-2i|lt=1. The maximum value of |2z-4i| is equal to _______.

Let Z_(1) and Z_(2) be two complex numbers satisfying |Z_(1)|=9 and |Z_(2)-3-4i|=4 . Then the minimum value of |Z_(1)-Z_(2)| is

If z be a complex number satisfying z^4+z^3+2z^2+z+1=0 then absz is equal to

If z be a complex number and |z+5|le6 ,then find the maximum and minimum values on |z+2|.

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let omega=e^(ipi/3),and a,b,c,x,y,z be non zero complex numbers such t...

    Text Solution

    |

  2. Find the values of a for which all the roots of the euation x^4-4x^3-8...

    Text Solution

    |

  3. if z is any complex number satisfying abs(z-3-2i)le2 then the minimum ...

    Text Solution

    |

  4. Let |(( bar z 1)-2( bar z 2))//(2-z1( bar z 2))|=1 and |z2|!=1,where z...

    Text Solution

    |

  5. If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a)3 ...

    Text Solution

    |

  6. Let 1,w,w^2 be the cube root of unity. The least possible degree of a ...

    Text Solution

    |

  7. If z1a n dz2 are complex numbers and u=sqrt(z1z2) , then prove that |z...

    Text Solution

    |

  8. The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a....

    Text Solution

    |

  9. If omega is an imaginary cube root of unity, then (1+omega-omega^2)^7 ...

    Text Solution

    |

  10. If |z|=1 and let omega=((1-z)^2)/(1-z^2) , then prove that the locus o...

    Text Solution

    |

  11. If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a)3 ...

    Text Solution

    |

  12. Let z=x+i ydot Then find the locus of P(z) such that (1+ bar z )/z ...

    Text Solution

    |

  13. (costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.

    Text Solution

    |

  14. Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

    Text Solution

    |

  15. Identify locus z if R e(z+1)=|z-1|

    Text Solution

    |

  16. If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of...

    Text Solution

    |

  17. Solve the equation sqrt(a(2^x-2)+1)=1-2^x for every value of the param...

    Text Solution

    |

  18. If |z1|=1,|z2|=2,|z3|=3,a n d|9z1z2+4z1z3+z2z3|=12 , then find the va...

    Text Solution

    |

  19. Let Z1 = (8 + i)sin theta + (7 + 4i)cos theta and Z2 = (1 + 8i)sin th...

    Text Solution

    |

  20. For alt=0 , determine all real roots of the equation x^2-2a|x-a|-3a^2=...

    Text Solution

    |