If |z1 + z2| = |z1| + |z2| is possible i...

If `|z_1 + z_2| = |z_1| + |z_2|` is possible if :

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|z_(1)+z_(2)|=|z_(1)|+|z_(2)| is possible if

|z_(1)+z_(2)|=|z_(1)|+|z_(2)| is possible, if

|z_(1)+z_(2)|=|z_(1)|+|z_(2)| is possible, if

|z_(1)+z_(2)|=|z_(1)|+|z_(2)| is possible, if

(v) |(z_1)/(z_2)|=|z_1| /|z_2|

Prove that |z_1+ z_2|^2= |z_1|^2+ |z_2|^2 if and only if (z_1/z_2) is purely imaginary.

If |z_1|=|z_2|=1 , then |z_1+z_2| =

Prove that |z_1+z_2|^2 = |z_1|^2 + |z_2|^2 if z_1/z_2 is purely imaginary.

Minimum value of |z_1 + 1 | + |z_2 + 1 | + |z _1 z _2 + 1 | if [ z_1 | = 1 and |z_2 | = 1 is ________.

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