If `z+ (mz_(1) + z_(2))/(m+1)` then find the distance of point z from the line joining `z_(1) + 1 and z_(2)+1`.

If |z_(1) + z_(2)|=|z_(1)-z_(2)| , then the difference in the amplitudes of z_(1) and z_(2) is

If arg (bar(z)_(1))= "arg" (z_(2)), (z ne 0) then

If the complex numbers z _(1) , z _(2) and z _(3) denote the vertices of an isosceles triangle, right angled at z _(1), then (z _(1) - z _(2)) ^(2) + (z _(1) - z _(3)) ^(2) is equal to A)0 B) (z _(2) + z _(3)) ^(2) C)2 D)3

If Im ((2z+1)/(iz+1))=3 , then locus of z is

If (2 z _(1))/(3z _(2)) is a purely imaginary, then | ( z _(1) - z _(2))/( z _(1) + z _(2))| is:

Suppose z_1 = 1 - i and z_2 = -2 + 4i Find z_1z_2

Consider the complex number z_1 = 3+i and z_2 = 1+i .Find 1/z_2