If `z_1, z_2, z_3` are 3 distinct complex numbers such that `3/|z_2-z_3|-4/|z_3-z_1|=5/|z_1-z_2|` then the value of `9/(z_2-z_3)+16/(z_3-z_1)+25/(z_1-z_2)` equals

If z_(1),z_(2),z_(3) are 3 distinct complex numbers such that (3)/(|z_(2)-z_(3)|)-(4)/(|z_(3)-z_(1)|)=(5)/(|z_(1)-z_(2)|)(9)/(z_(2)-z_(3))+(16)/(z_(3)-z_(1))+(25)/(z_(1)-z_(2)) equals

If z_(1), z_(2) and z_(3) are 3 distinct complex numbers such that (3)/(|z_(1)-z_(2)|)=(5)/(|z_(2)-z_(3)|)=(7)/(|z_(3)-z_(1)|) , then the value of (9)/(z_(1)-z_(2))+(25)/(z_(2)-z_(3))+(49)/(z_(3)-z_(1)) is equal to

If z_(1), z_(2), z_(3) are 3 distinct complex such that (3)/(|z_(1)-z_(2)|)=(5)/(|z_(2)-z_(3)|)=(7)/(|z_(3)-z_(1)|) , then the value of (9barz_(3))/(z_(1)-z_(2))+(25barz_(1))/(z_(2)-z_(3))+(49barz_(2))/(z_(3)-z_(1)) is equal to

z_1,z_2,z_3 are complex number and p,q,r are real numbers such that: p/(|z_2-z_3|)= q/(|z_3-z_1|)= r/(|z_1-z_2|) . Prove that p^2/(z_2-z_3)= q^2/(z_3-z_1)= r^2/(z_1-z_2)=0

If z_1,z_2,z_3 are three complex numbers such that |z_1|=|z_2|=|z_3|=1 , find the maximum value of |z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2

If |2z-1|=|z-2| and z_(1),z_(2),z_(3) are complex numbers such that |z_(1)-alpha| |z|d.>2|z|

If z_1,z_2,z_3 are complex number , such that |z_1|=2, |z_2|=3, |z_3|=4 , the maximum value |z_1-z_2|^(2) + |z_2-z_3|^2 + |z_3-z_1|^2 is :

If z_(1),z_(2),z_(3) are complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=1|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 Then find the value of |z_(1)+z_(2)+z_(3)| is :