[" 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)-]

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) 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)/(z_2)) is equal to

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) 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

State true or false for the following. Let z_(1) " and " z_(2) be two complex numbers such that |z_(2) + z_(2)| = |z_(1) | + |z_(2)| , then arg (z_(1) - z_(2)) = 0

State true or false for the following. Let z_(1) " and " z_(2) be two complex numbers such that |z_(2) + z_(2)| = |z_(1) | + |z_(2)| , then arg (z_(1) - z_(2)) = 0

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