Home
Class 11
MATHS
If Re((z-1)/(z+1))=0 where z=x+iy is a c...

If Re`((z-1)/(z+1))=0` where `z=x+iy` is a complex number, then which one of the following is correct? (a) `z=1+i` (b) `|z|= 2`. (c) `z=1-i`

Promotional Banner

Similar Questions

Explore conceptually related problems

If Re((z-1)/(2z+i))=1, where z=x+iy ,then the point (x,y) lies on a

If z_(1),z_(2) are any two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+z_(2)|, which one of the following is correct ?

If z=x+iy is a complex number such that |z|=Re(iz)+1 , then the locus of z is

If z=x +iy is a complex number satisfying |z+i//2|^2=|z-i//2|^2 then the locus of z is

If z=x+iy is a complex number satisfying |z+i/2|^2=|z-i/2|^2 , then the locus of z is

Find the complex number z for which |z| = z + 1 + 2i.

If z is a complex number such that z+i|z|=ibar(z)+1 ,then |z| is -

If |Z-i|=sqrt(2) then arg((Z-1)/(Z+1)) is (where i=sqrt(-1)) ; Z is a complex number )

If f(z)=(1-z^(3))/(1-z) , where z=x+iy with zne1 , then Re bar({f(z)})=0 reduces to

If z = x + iy is a complex number such that |(z-4i)/(z+ 4i)| = 1 show that the locus of z is real axis.