Let `z_1 and z_2` be the roots of the equation `3z^2 + 3z + b=0`. If the origin, together with the points represented by `z_1 and z_2` form an equilateral triangle then find the value of b.

Let z_(1)" and "z_(2) be the roots of the equation z^(2)+pz+q=0 , where p,q are real. The points represented by z_(1),z_(2) and the origin form an equilateral triangle if

Let z_(1) , z_(2) be two roots of the equation z^(2) + az + b = 0 , z being complex . Further assume that the origin z_(1) and z_(2) form an equilateral triangle , then

Let z_(1) and z_(2) be two roots of the equation z^(2)+az+b=0 , z being complex number, assume that the origin z_(1) and z_(2) form an equilateral triangle , then

Let z_(1)" and "z_(2) be two roots of the equation z^(2)+az+b=0 , z being complex number further, assume that the origin, z_(1)" and "z_(2) form an equilateral triangle, then

Let z_1 and z_2 be theroots of the equation z^2+az+b=0 z being compex. Further, assume that the origin z_1 and z_2 form an equilatrasl triangle then

If z_(1) and z_(2) are the roots of the equation az^(2)+bz+c=0,a,b,c in complex number and origin z_(1) and z_(2) form an equilateral triangle,then find the value of (b^(2))/(ac) .

Let z_1 and z_2 be theroots of the equation z^2+az+b=0 z being complex. Further, assume that the origin z_1 and z_2 form an equilateral triangle then (A) a^2=4b (B) a^2=b (C) a^2=2b (D) a^2=3b