The number of complex numbers `z` such that `|z|=1` and `|z/ barz + barz/z|=1` is `arg(z) in [0,2pi))` then a. `4` b. `6` c. `8` d. more than `8`

Find the complex number z if zbarz = 2 and z + barz=2

If z is a complex number such that |z|=4 and arg(z)=(5 pi)/(6) then z is equal to

Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi Then argz equals

The number of complex number Z satisfying the conditions |(Z)/(bar(z))+(bar(Z))/(Z)|=1,|Z|=1 and arg(z)=(0,2 pi) is

The complex number z satisfying |z+1|=|z-1| and arg (z-1)/(z+1)=pi/4 , is

If z_(1)-z_(2) are two complex numbers such that |(z_(1))/(z_(2))|=1 and arg (z_(1)z_(2))=0, then

If z is a complex number such that |z - barz| +|z + barz| = 4 then find the area bounded by the locus of z.

If all the complex numbers z such that |z|=1 and |(z)/(barz)+(barz)/(z)|=1 vertices of a polygon then the area of the polygon is K so that [2K] , ( [.] is GIF) equals