Home
Class 11
MATHS
If z1 lies on absz=1 and z2 lies on absz...

If `z_1` lies on `absz=1` and `z_2` lies on `absz=2` then

A

`3leabs(z_1-2z_2)le5`

B

`1leabs(z_1+z_2)le3`

C

`abs(z_1-3z_2)le5`

D

`2leabs(z_1+z_2)le4`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

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

If abs(z^2-1)=absz^2+1 , then z lies on

If absz_1=absz_2=absz_3=1 and z_1+z_2+z_3=0 , then z_1, z_2, z_3 are vertices of

A complex number z is said to be unimodular if absz=1 suppose z_1 and z_2 are complex numbers such that ( z_1-2z_2)/(2-z_1z_2) is unimodular and z_2 in not unimodular then the point z_1 lies on a

A complex number z is said to be unimodular if |z|=1 Suppose z_(1)andz_(2) are complex number such that (z_(1)-^(2z)2)/(2-z_(1)z_2) is unimodular and z_(2) is not unimodular .Then the point z_(1) lies on a -

If amp (z_1z_2)=0 and absz_1=absz_2=1 , then

Let z_1 and z_2 be complex numbers such that z_1 nez_2 and absz_1=absz_2 if z_1 has positive real part then (z_1+z_2)/(z_1-z_2) may be

if z_1, z_2, z_3 are the vertices pf an equilateral triangle inscribed in the circle absz=1 and z_1=i , then

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.

If z_1 and z_2 are two complex no. st abs(z_1+z_2) = abs(z_1)+abs(z_2) then

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If (x+2)^3-27=0 then a value of x is

    Text Solution

    |

  2. If absomega=1 then the set of points z=omega+1/omega is contained in o...

    Text Solution

    |

  3. If z1 lies on absz=1 and z2 lies on absz=2 then

    Text Solution

    |

  4. IfA(z1),B(z2),C(z3) and D(z4) be the vertices of the square ABCD then

    Text Solution

    |

  5. If z1 and z2 are non zero complex numbers such that abs(z1-z2)=absz1+a...

    Text Solution

    |

  6. The reflection of the complex number (2-i)/(3+i) where (i=sqrt(-1)in t...

    Text Solution

    |

  7. If alpha is a complex constant such that alphaz^2+z+baralpha=0 has are...

    Text Solution

    |

  8. Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} ...

    Text Solution

    |

  9. Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} ...

    Text Solution

    |

  10. Let alpha+ibeta be a complex number and let x+iy=e^(alpha+ibeta) where...

    Text Solution

    |

  11. Let alpha+ibeta be a complex number and let x+iy=e^(alpha+ibeta) where...

    Text Solution

    |

  12. If alpha is non real fourth root of unity , then value of,alpha^(4n-1)...

    Text Solution

    |

  13. Let alpha ne1 be an nth root of unity where n is a prime natural numbe...

    Text Solution

    |

  14. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

    Text Solution

    |

  15. The complex numbers z is simultaneously satisfy the equations abs(z-12...

    Text Solution

    |

  16. The smallest positiv einteger n for which ((1+i)/(1-i))^n=1 where i=sq...

    Text Solution

    |

  17. If abszge3 then the least value of abs(z+i/z) is lambda/3 then the val...

    Text Solution

    |

  18. If abs(z-1)+abs(z+3)le8 then possible value of abs(z-4) is

    Text Solution

    |

  19. A complex number z is said to be unimodular if absz=1 suppose z1 and z...

    Text Solution

    |

  20. It is given that n is an odd integer greater than 3 but n is not a mul...

    Text Solution

    |