[" All the points in the set "S={(alpha+i)/(alpha-i):alpha in R}(i=sqrt(-1))],[" lie on a: "]

If S={(alpha+i)/(alpha-i),alpha in R} then the S lies on

Let S = {(2alpha+3i)/(2alpha-3i):alpha in R} . All the points of S lie on a circle of radius ____________.

For a complex number z the minimum value of |z|+|z-cos alpha-i sin alpha| (where i=sqrt(-1)) is:

If alpha=e^((i2 pi)/(n)), then n(11-alpha)(11-alpha^(2))(11-alpha^(n-1))=

If alpha and beta are the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=o where i=sqrt(-1) , the value of |alpha-beta|^(2) is

If alpha and beta are the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=0 where i=sqrt(-1) , the value of |alpha-beta|^(2) is

If alpha and beta are the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=o where i=sqrt(-1) , the value of |alpha-beta|^(2) is

If alpha and beta are the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=o where i=sqrt(-1) , the value of |alpha-beta|^(2) is

If alpha and beta are the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=0 where i=sqrt(-1) , the value of |alpha-beta|^(2) is