Home
Class 12
MATHS
If z=x+iy and |z|=1, find the locus of z...

If `z=x+iy and |z|=1`, find the locus of z

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (D)|13 Videos

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VSAQ|2 Videos

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (B)|37 Videos

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos

  • DE MOIVRE'S THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|6 Videos

Similar Questions

Explore conceptually related problems

z=x+iy represent a point in the Argand plane, find the locus of z. such that |z|=2

If |z+ai|=|z-ai| then find the locus of z.

If |z-1| = 2 then the locus of z is

If |z -1| lt 2 |z - 2| then the locus of z = x + iy is

If |z -2 - 3i| = 5 then the locus of z = x +iy is

If Arg ((2 - z)/(2 + z)) = (pi)/(6) and z = x + iy , then the locus of z is

If the real part of (z+1)/(z+i) is 1, then find the locus of z.

If |z+barb|=|z-barz| , then the locus of z is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-COMPLEX NUMBERS-EXERCISE -1 (C)
  1. If sqrt(3)+i= r(cos theta+isin theta), then find the value of theta in...

    Text Solution

    |

  2. If x+iy=(cosalpha+isinalpha)(cosbeta+isinbeta) then value of x^(2)+y^(...

    Text Solution

    |

  3. If (z(2))/(z(1))(z(1) ne 0) is an imaginary number, then find the valu...

    Text Solution

    |

  4. If (sqrt(3)+i)^(100)=2^(99)(a+ib). Then show that a^(2)+b^(2)=4

    Text Solution

    |

  5. If z=x+iy and |z|=1, find the locus of z

    Text Solution

    |

  6. If the amplitude of (z-1)"is" (pi)/(2), then find the locus of z.

    Text Solution

    |

  7. If the Arg barz(1) Arg z(1) "are" (pi)/(5) and (pi)/(3) respectively f...

    Text Solution

    |

  8. If z=(1+2i)/(1-(1-i)^2), t h e n\ "a r g"(z) equals 0 b. pi/2 c. pi d....

    Text Solution

    |

  9. Simplify the following complex numbers and find their modulus. =((2+...

    Text Solution

    |

  10. Simplify the following complex numbers and find their modulus. ((1+...

    Text Solution

    |

  11. If (1-i)(2-i)(3-i)....(1-ni)=x- iy then prove that 2.510..... (1+n)^(2...

    Text Solution

    |

  12. If the real part of (z+1)/(z+i) is 1, then find the locus of z.

    Text Solution

    |

  13. If |z-3+i|=4 determine the locus of z.

    Text Solution

    |

  14. If |z+ai|=|z-ai| then find the locus of z.

    Text Solution

    |

  15. If z=(x+iy) and if the point P in the Argand plane represent z, then d...

    Text Solution

    |

  16. If z=(x+iy) and if the point P in the Argand plane represent z, then d...

    Text Solution

    |

  17. If z=(x+iy) and if the point P in the Argarand plane represent z, then...

    Text Solution

    |

  18. If z=(x+iy) and if the point P in the Argarand plane represent z, then...

    Text Solution

    |

  19. If z(1), z(2) are two non-zero complex numbers satisfying |z(1)+z(2)|=...

    Text Solution

    |

  20. z=x+iy and the point P represents z, in the Argand plane and ||(z-a)/(...

    Text Solution

    |