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

If arg (z_(1))=(17pi)/18 and arg (z_(2))=(7pi)/18, find the principal argument of z_(1)z_(2) and (z_(1)//z_(2)).

If arg(z_(1))=(2pi)/3 and arg(z_(2))=pi/2 , then find the principal value of arg(z_(1)z_(2)) and also find the quardrant of z_(1)z_(2) .

The principal argument of 2z^(2)+1-sqrt(3)i=0

If z_(1) and z_(2) are conjugate to each other , find the principal argument of (-z_(1)z_(2)) .

If |(z_(1))/(z_(2))|=1 and arg(z_(1)z_(2))=0, then

If arg (z_(1)z_(2))=0 and |z_(1)|=|z_(2)|=1 , then

If arg(z-1)=arg(z+2i), then find (x-1):y, where z=x+iy

If arg((z_(1))/(z_(2)))=(pi)/(2), then find the value of |(z_(1)+z_(2))/(z_(1)-z_(2))|

If arg(Z_(1)Z_(2))=arg Z_(1)+arg Z_(2)+n pi,n in Z and ifprinciple argument of Z in[-pi,pi) then Z_(1)=-2,Z_(2)=-3 then n=