If `|z_1|` = `|z_2|` = `|z_3|` = 1 & `z_1 + z_2 +z_3 = sqrt2 + i` then `(z_1/z_2 + z_2/z_3 + z_3/z_4)` =

If | z_ (1) | = | z_ (2) | = | z_ (3) | = 1 & z_ (1) + z_ (2) + z_ (3) = sqrt (2) + i then ((z_ (1) ) / (z_ (2)) + (z_ (2)) / (z_ (3)) + (z_ (3)) / (z_ (4))) =

Let z_1, z_2 , z_3 in C such that |z_1 | = |z_2| = |z_3| = |z_1+ z_2+ z _3| = 4 . If |z_1 - z _2 | = | z _1 + z _ 3 | and z_2 ne z_3 , then values of |z_1 + z_2 |* |z_1 + z _ 3| is _____.

If |z_1-1|<1 , |z_2-2|<2 , |z_3-3|<3 then |z_1+z_2+z_3|

If |z_1|=1, |z_2|=2, |z_3|=3 and |9z_1z_2 + 4z_1z_3 + z_2z_3|=36 , then |z_1+z_2+z_3| is equal to :

If |z_1|=1, |z_2| = 2, |z_3|=3 and |9z_1 z_2 + 4z_1 z_3+ z_2 z_3|=12 , then the value of |z_1 + z_2+ z_3| is equal to

If |z_1|=2, |z_2|=3, |z_3|=4 and |2z_1+3z_2 + 4z_3|=9 , then value of |8z_2z_3 + 27z_3z_1 + 64z_1z_2|^(1//3) is :

If |z_1|=2, |z_2|=3, |z_3|=4 and |2z_1+3z_2 + 4z_3|=9 , then value of |8z_2z_3 + 27z_3z_1 + 64z_1z_2|^(1//3) is :

If z_1 = 4 - 7i , z_2 = 2 + 3i and z_3 = 1 + i show that z_1 + (z_2 + z_3) = (z_1 + z_2)+z_3