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If the real part of (z+1)/(z+i) is 1, th...

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

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Knowledge Check

  • Let z=x+iy and a point P represent z in the Argand plane. If the real part of (z-1)/(z+i) is 1, then a point that lies on the locus of P is

    A
    (2016, 2017)
    B
    (-2016, 2017)
    C
    (-2016, -2017)
    D
    (2016, -2017)

  • If the imaginary part of (2z + 1)/(iz+ 1) is -2 , then the locus of the point representing z in the complex plane

    A
    a straight line
    B
    a circle
    C
    a parabola
    D
    an ellipse

  • If the imageinary part of ( 2z+1)/( I z +1) is -2 then the locus of the point representing z in the complex plane is

    A
    a circle
    B
    A parabola
    C
    A straight line
    D
    an ellipse

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

    If |(z-i)/(z+i)|=1 then the locus of z is

    If the amplitude of (z-1-2i) "is" pi/3 , then the locus of z is

    IF z=x+iy,x,y in R and the imaginary part of ((overlinez-1)/(overlinez-i)) is 1,then the locus of z is

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

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