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Determine the locus of z, z ne 21i such...

Determine the locus of `z, z ne 21i` such that Re `((z-4)/(z-2i))=0`

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

If z = x + iy and if the point P in the argand plane represents z then find the locus of P satisfying the following equations Re ((z-4)/(z-2i)) = 0 (z ne 2i)

Knowledge Check

  • The equation of the locus of 2 such that |(z-i)/(z+i)|=2 , where z = x + iy is a complex number , is

    A
    `3x^2+3y^2+10y-3=0`
    B
    `3x^2+3y^2+10y+3=0`
    C
    `3x^2+3y^2-10y-3=0`
    D
    `x^2+y^2-5y+3=0`

  • The locus of z such that |z-1|^2+|z+1|^2=4 is a

    A
    `x^2+y^2=2`
    B
    `x^2+y^2=1`
    C
    `x^2+2y^2=2`
    D
    none

  • The locus of the point z = x + iy satisfying |(z-2i)/(z+2i)|=1 is

    A
    x - axis
    B
    y - axis
    C
    y = 2
    D
    x = 2

    • Similar Questions

    Explore conceptually related problems

    If z = x +iy and if the point P in the argand plane represents z then find the locus of P satisfying the equation Re ((z + 1)/(z +i)) = 1

    The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is

    If z = x +iy and if the point P in the argand plane represents z then find the locus of P satisfying the equation (z - i)/(z -1) is purely imaginary

    If Re (z^2)=2 then the locus of z is

    If |z-3+i| = 4 then the locus of z = x +iy is

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