Let `z_1,z_2` and `z_3` be three distinct complex numbers , satisfying `|z_1|=|z_2|=|z_3|=1`. Which of the following is/are true :

Let z_1,z_2 and z_3 be three distinct complex numbers , satisfying |z_1|=|z_2|=|z_3|=1 find maximum value of| z1 - z2 |^2 + |z2-z3|^2 + |z3-z1|^2

If z complex number satisfying |z-1| = 1 , then which of the following is correct

Let z_1, z_2,z_3 be three distinct complex numbers satisfying |z_1- 1|=|z_2 - 1|= |z_3-1| .If z_1+z_2+z_3=3 then z_1,z_2,z_3 must represent the vertices of

Let z be a complex number satisfying |z+16|=4|z+1| . Then

z_1a n dz_2 are two complex numbers satisfying i|z_1|^2z_2-|z_2|^2z_1=z_1-i z_2dot Then which of the following is/are correct? R e((z_1)/(z_2))=0 (b) I m((z_1)/(z_2))=0 z_1( z )_2+( z )_1z_2=0 (d) |z_1||z_2|=1or|z_1|=|z_2|

Let z_(1),z_(2),z_(3),z_(4) are distinct complex numbers satisfying |z|=1 and 4z_(3) = 3(z_(1) + z_(2)) , then |z_(1) - z_(2)| is equal to

For all complex numbers z_1,z_2 satisfying |z_1|=12 and |z_2-3-4i|=5 , find the minimum value of |z_1-z_2|

Let z_(1),z_(2) be two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| . Then,

If z_1,z_2 and z_3,z_4 are two pairs of conjugate complex numbers then arg(z_1/z_4)+arg(z_2/z_3)=

Let z_1, z_2, z_3 be the three nonzero complex numbers such that z_2!=1,a=|z_1|,b=|z_2|a n d c=|z_3|dot Let |a b c b c a c a b|=0 a r g(z_3)/(z_2)=a r g((z_3-z_1)/(z_2-z_1))^2 orthocentre of triangle formed by z_1, z_2, z_3, i sz_1+z_2+z_3 if triangle formed by z_1, z_2, z_3 is equilateral, then its area is (3sqrt(3))/2|z_1|^2 if triangle formed by z_1, z_2, z_3 is equilateral, then z_1+z_2+z_3=0