if `|(1-iz)/(z-i)|=1` prove that the locus of the variable point `z` in the Argand plane is the real axis.

If |(1-iz)/(z-i)|=1 find the locus of z

If |(1-iz)/(z-i)|=1 find the locus of z

Find the locus of point z in the Argand plane if (z-1)/(z+1) is purely imaginary.

If the imaginary part of (2z+1)/(iz+1) is -2, then show that the locus of the point respresenting z in the argand plane is a straight line.

If the imaginary part of (2z+1)/(i z+1) is -2 , then show that the locus of the point respresenting z in the argand plane is a straight line.

If the imaginary part of (2z + 1)/(iz + 1) is -2 , then show that the locus of the point representing z in the argand plane is straight line.

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is