If |Z| = `sqrt3` and `Z_1` = Z + `3/Z`, Then length of line segment on which `Z_1` lies is.

If the projection of a line segment on X,Y and Z-axes are 3,1 and sqrt(15) respectvely, then length of line segment is

If z_1 = –3 + 5 i, z_2 = –5 – 3 i and z is a complex number lying on the line segment joining z_1 & z_2 , then arg(z) can be

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.

Let z _(1) = 1 + i sqrt3 and z _(2) = 1 + i, then arg ((z _(1))/( z _(2))) is

If z_(1)=sqrt(3)+i sqrt(3) and z_(2)=sqrt(3)+i then the complex number ((z_(1))/(z_(2))) lies in the