If zis a complex number, then `|3z-1|=3|z-2|` represents

Let z in C, the set of complex numbers. Thenthe equation,2|z+3i|-|z-i|=0 represents :

If z a complex number satisfying |z^(3)+z^(-3)|le2 , then the maximum possible value of |z+z^(-1)| is -

If the complex numbers z_(1) , z_(2) , z_(3) represents the vertices of an equilateral triangle such that |z_1| = |z_2| = |z_3| then

If the complex numbers z_(1),z_(2),z_(3) represents the vertices of an equilaterla triangle such that |z_(1)|=|z_(2)|=|z_(3)| , show that z_(1)+z_(2)+z_(3)=0

If the complex numbers z_(1), z_(2), z_(3) represent the vertices of an equilateral triangle, and |z_(1)|= |z_(2)| = |z_(3)| , prove that z_(1)+ z_(2) + z_(3)=0

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

In the Argand plane ,the distinct roots of 1+z+z^(3)+z^(4)=0 (z is a complex number ) represent vertices of -