If `a rg(z_1)=170^0a n d arg(z_2)=70^0` , then find the principal argument of `z_1z_2dot`

If |z_1/z_2|=1 and arg (z_1z_2)=0 , then

If |z_1-1|lt=1,|z_2-2|lt=2,|z_(3)-3|lt=3, then find the greatest value of |z_1+z_2+z_3|dot

If z is a complex number, then find the minimum value of |z|+|z-1|+|2z-3|dot

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( barz )_2dot

Find the principal argument arg z, when z = (-2)/(1 + isqrt(3))

|z_(1)|=|z_(2)|" and "arg z_(1)+argz_(2)=0 then

Let z_1 and z_2 q, be two complex numbers with alpha and beta as their principal arguments such that alpha+beta then principal arg(z_1z_2) is given by:

If z_1, z_2 in C ,z_1^ 2 in R ,z_1(z_1^ 2-3z_2 ^2)=2 a n d z_2(3z_1 ^2-z_2^ 2)=11 , then the value of z_1^ 2+z_2^ 2 is a. 10 b. 12 c. 5 d. 8