Home
Class 11
MATHS
Find the non-zero complex numbers z sat...

Find the non-zero complex numbers `z` satisfying ` barz =i z^2dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA ENGLISH|Exercise All Questions|117 Videos

  • DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

Find the non-zero complex number z satisfying z =i z^2dot

Find all non zero complex numbers z satisfying barz=iz^2

Number of complex numbers satisfying z^3 = barz is

Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4z i=z^2 is _________.

Modulus of nonzero complex number z satifying barz + z =0 and |z|^(2)-4iz=z^(2) is _____.

Find the complex number z satisfying R e(z^2 =0),|z|=sqrt(3.)

Find the complex number z satisfying R e(z^2) =0,|z|=sqrt(3.)

Find the locus of a complex number z=x +yi , satisfying the relation |z +i|=|z+ 2| . Illustrate the locus of z in the Argand plane

Find the number of complex numbers which satisfies both the equations |z-1-i|=sqrt(2)a n d|z+1+i|=2.

Find the locus of a complex number, z=x +iy , satisfying the relation |(z-3i)/(z+3i)| le sqrt(2) . Illustrate the locus of z in the Argand plane.

RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. If z=2-3i show that z^2-4z+13=0 and hence find the value of 4z^3-3z^...

    Text Solution

    |

  2. If |z1|=|z2|=.......=|zn|=1, prove that |z1+z2+z3++zn|=1/(z1)+1/(z2)+...

    Text Solution

    |

  3. Find the non-zero complex numbers z satisfying barz =i z^2dot

    Text Solution

    |

  4. Show that if iz^3+z^2-z+i=0, then |z|=1

    Text Solution

    |

  5. Solve the equation z^2 +|z|=0 , where z is a complex number.

    Text Solution

    |

  6. If z1, z2a n dz3, z4 are two pairs of conjugate complex numbers, find ...

    Text Solution

    |

  7. If zr=cos(pi/(3^r))+isin(pi/(3^r)),r=1,2,3, , prove that z1z2z3 zoo=i...

    Text Solution

    |

  8. If xn=cospi/(2^n)+isinpi/(2^n) , prove that x1x2x3 xoo=-1.

    Text Solution

    |

  9. Find the square root of the following: 5+12 i

    Text Solution

    |

  10. Find the square roots of -15-8idot

    Text Solution

    |

  11. Find the number of solutions of z^2+|z|^2=0.

    Text Solution

    |

  12. If ((a^2+1)/(2a-i))^2=x+i y , find the value of x^2+y^2dot

    Text Solution

    |

  13. Let z1a n dz2 be two complex numbers such that ( z )1+i( z )2=0 and ...

    Text Solution

    |

  14. If |z-5i|=|z+5i| , then the locus of zdot

    Text Solution

    |

  15. If z1a n dz2 both satisfy z+barz r =2|z-1| and a r g(z1-z2)=pi/4 , t...

    Text Solution

    |

  16. Show that the complex number z, satisfying the condition arg ((z -1)/(...

    Text Solution

    |

  17. If z=(1+7i)/((2-i)^2) , then find |z|?

    Text Solution

    |

  18. The value of (i^5+i^6+i^7+i^8+i^9)/(1+i) is

    Text Solution

    |

  19. Write the least positive integral value of n for which ((1+i)/(1-i))^n...

    Text Solution

    |

  20. If f(z)=(7-z)/(1-z^2) , where z=1+2i , then |f(z)| is

    Text Solution

    |