If `z_(1), z_(2)` are two non-zero complex numbers satisfying `|z_(1)+z_(2)|=|z_(1)|+|z_(2)|`, show that Arg `z_(1)`- Arg `z_(2)=0`

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| , then arg. z_(1)- arg. z_(2) equals :

If z_(1)and z_(2) be any two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then prove that, arg z_(1)=arg z_(2) .

If |z_(1)+ z_(2)|=|z_(1)|+|z_(2)| , then arg z_(1) - arg z_(2) is

If z_(1)" and "z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_1|+|z_(2)| , then arg z_(1)- arg z_(2) is equal to

If z_(1) , z_(2) are complex numbers and if |z_(1) + z_(2)| = |z_(1)| - |z_(2)| show that arg (z_(1)) - arg (z_(2)) = pi .

If z_(1)&z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)|, then arg (z_(1))-arg(z_(2)) is equal to a.-pi b.-(pi)/(2)c*(pi)/(2) d.0

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1) + z_(2)| = |z_(1)| + |z_(2)| , then arg ((z_(1))/(z_(2))) is equal to a)0 b) -pi c) -(pi)/(2) d) (pi)/(2)

If z_(1) and z_(2), are two non-zero complex numbers such tha |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg(z_(1))-arg(z_(2)) is equal to

If z_(1) and z_(2), are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg(z_(1))-arg(z_(2)) is equal to (1)0(2)-(pi)/(2) (3) (pi)/(2)(4)-pi