Home
Class 12
MATHS
If z=2+3i, then |z^2|^3 is equal to...

If `z=2+3i`, then `|z^2|^3` is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Continuity, Differentiability and Graph of Function

    A DAS GUPTA|Exercise Exercise|38 Videos

Similar Questions

Explore conceptually related problems

If z_1 z_2 = 5 & z_1^3 z_2^3 = 20 15 i then |z_1^4 z_2^4| is equal to

If |z_1|=1, |z_2|=2, |z_3|=3 and |9z_1z_2 + 4z_1z_3 + z_2z_3|=36 , then |z_1+z_2+z_3| is equal to :

If z is a complex number such that |z|=4 and arg(z)=(5 pi)/(6), then z is equal to -2sqrt(3)+2i b.2sqrt(3)+i c.2sqrt(3)-2i d.-sqrt(3)+i

Let z_(1),z_(2),z_(3),z_(4) are distinct complex numbers satisfying |z|=1 and 4z_(3) = 3(z_(1) + z_(2)) , then |z_(1) - z_(2)| is equal to

If z_(1),z_(2) and z_(3) are three distinct complex numbers such that |z_(1)| = 1, |z_(2)| = 2, |z_(3)| = 4, arg(z_(2)) = arg(z_(1)) - pi, arg(z_(3)) = arg(z_(1)) + pi//2 , then z_(2)z_(3) is equal to

z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 , then |z| is equal to

If conjugate of a complex number z is (2+5i)/(4-3i) , then |Re(z) + Im(z)| is equal to ____________

Let m = Slope of the line |z + 3|^(2) - |z-3i|^(2) = 24 , then m + 1.73 is equal to

A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. If z1 and z2 are two nonzero complex numbers such that |z1-z2|=|z1|-|z...

    Text Solution

    |

  2. If z1,z2 are nonreal complex and |(z1+z2)/(z1-z2)|=1 then (z1)/(z2) is

    Text Solution

    |

  3. If z=2+3i, then |z^2|^3 is equal to

    Text Solution

    |

  4. The equation z^5+z^4+z^3+z^2+z+1=0 is satisfied by

    Text Solution

    |

  5. The points, z1,z2,z3,z4, in the complex plane are the vartices of a pa...

    Text Solution

    |

  6. If z^4= (z-1)^4 then the roots are represented in the Argand plane by...

    Text Solution

    |

  7. If |z1 |=|z2|=|z3| = 1 and z1 +z2+z3 =0 then the area of the triangle ...

    Text Solution

    |

  8. In the Argand plane |(z-i)/(z+i)| = 4 represents a

    Text Solution

    |

  9. Suppose z1 + z2 + z3 + z4=0 and |z1| = |z2| = |z3| = |z4|=1. If z1, z2...

    Text Solution

    |

  10. If arg (z-z1)/(z2-z1) = 0 for three distinct complex numbers z,z1,z2 ...

    Text Solution

    |

  11. The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...

    Text Solution

    |

  12. The locus of the points z satisfying the condition arg ((z-1)/(z+1))=p...

    Text Solution

    |

  13. If a r g((z-2)/(z+2))=pi/4 then the locus of z is

    Text Solution

    |

  14. zbarz+abarz+baraz+b=0 where binR represents a real circle of nonzero r...

    Text Solution

    |

  15. Find the value of sqrt(20+48i)

    Text Solution

    |

  16. If i^p=i^q where i^2=-1 then p-q is divisible by 4.

    Text Solution

    |

  17. If z=(2+3i)/(3+2i), then |z|=

    Text Solution

    |

  18. Find the solutions to the equation (z+i)^2 = 16.

    Text Solution

    |

  19. If z is a nonreal compex number and |z|=1 then z^2+1/z^2=2 .

    Text Solution

    |

  20. State true or false: If z= (cos2theta+isin2theta)/(costheta+isintheta)...

    Text Solution

    |