If `z(bar(z+alpha))+barz(z+alpha)=0`, where `alpha` is a complex constant, then z is represented by a point on

If alpha=(z)/(bar(z)), then | alpha|

If alpha+ibeta=tan^(-1)z , z=x+iy and alpha is constant, then locus of z is:

If alpha=(z)/(bar(z)), then | alpha| equals

Intercept made by the circle zbar(z)+alphabar(z)+bar(alpha)z+r=0 on the real axis on complex plane,is (a) sqrt(alpha+alpha)-r)(b)sqrt(alpha+alpha)-2r)( c) sqrt(alpha+alpha)+r)(d)sqrt((alpha+alpha)^(2)-4r)

If alpha+ibeta=tan^(-1) (z), z=x+iy and alpha is constant, the locus of 'z' is

If alpha+ibeta=tan^(-1) (z), z=x+iy and alpha is constant, the locus of 'z' is

If x alpha yz and y alpha zx , then show that (z!=0) is a constant.