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

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

Find the radius and centre of the circle z bar(z) + (1-i) z + (1+ i) bar(z)- 7 = 0

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

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_(1)| = 2 and (1-i)z_(2) + (1+i)bar(z)_(2) = 8 sqrt(2) , then

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