If(1+i)z=(1-i)bar(z)" then "z" is "

If (1+i)z=(1-i) (bar z) , then show that z=-i bar z

Select and write the correct answer from the given alternatives in each of the following: If (1 + i) z = 1 (1 - i) bar z , then z is

If z=i-1, then bar(z)=

If z_(2) be the image of a point z_(1) with respect to the line (1-i)z+(1+i)bar(z)=1 and |z_(1)|=1 , then prove that z_(2) lies on a circle. Find the equation of that circle.

If z_(2) be the image of a point z_(1) with respect to the line (1-i)z+(1+i)bar(z)=1 and |z_(1)|=1 , then prove that z_(2) lies on a circle. Find the equation of that circle.

If z is a complex number then radius of the circle zbar(z)-2(1+i)z-2(1-i)bar(z)-1=0 is

Let S = {z in C : z^(2) = 4 (i bar(z))^(2)},"then" sum_(z in S)|z+(1)/(2)i| = ___________.

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

In z=5/(1-3i) then find z.bar z .