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If a point p dentes a complex number z=x...

If a point p dentes a complex number z=x+iy in the argand plane and if `(z+1)/(z+i)` is a purely real number , then the locus of p is

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The point P represnets a complex number z in the Argand plane. If the amplitude of z is (pi)/(4) , determine the locus of P.

z=x+iy and the point P represents z, in the Argand plane and ||(z-a)/(z+a)||=1 Ra (a) ne 0 then find the locus of P.

Knowledge Check

  • If (z+2)/(z+6i) is purely real then the locus of z = x +iy is

    A
    `3x+y+6=0`
    B
    `3x+y-6=0`
    C
    `3x-y-6=0`
    D
    none

  • If (z - i)/(z +1) is purely imaginary then the locus of z = x +iy is

    A
    `x^(2) + y^(2) - x + 6y = 0`
    B
    `x^(2) + y^(2) - x - y= 0`
    C
    `x^(2) + y^(2) + x - y = 0`
    D
    `x^(2) + y^(2) = 1`

  • If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

    A
    `x^2+y^2-x+y=0`
    B
    `x^2+y^2-x-y=0`
    C
    `x^2+y^2+x-y=0`
    D
    none

    • Similar Questions

    Explore conceptually related problems

    P is a point denoting z in the argand diagram and if (z-i)/(z-1) is always purely imaginary, then locus of P is

    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

    If z = x +iy and P represents z in the Argand plane and mod (2z-3) = 4 , then the locus of P is

    If |z + 1| = sqrt2 | z- 1| and z is a complex number , then the locus of z is

    If a is real number such that |z-ai|=|z+ai| , then the locus of z is

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