If 2 and i are two roots of the equation `2z^4+az^3+bz^2+cz+3=0`,where a,b,c `in`R, then the value of `-2a/11` is

If all the roots of the equation z^(4)+az^(3)+bz^(2)+cz+d=0(a,b,c,d in R) are of unit modulus,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) .

Consider the equation az + bar(bz) + c =0 , where a,b,c in Z If |a| ne |b| , then z represents

If one root of the equation z^(2)-az+a-1=0 is (1+i), where a is a complex number then find the root.

For a complex number Z, if all the roots of the equation Z^3 + aZ^2 + bZ + c = 0 are unimodular, then

The roots of the equation z^(4) + az^(3) + (12 + 9i)z^(2) + bz = 0 (where a and b are complex numbers) are the vertices of a square. Then The value of |a-b| is

The roots of the equation z^(4) + az^(3) + (12 + 9i)z^(2) + bz = 0 (where a and b are complex numbers) are the vertices of a square. Then The value of |a-b| is

The roots of the equation z^(4) + az^(3) + (12 + 9i)z^(2) + bz = 0 (where a and b are complex numbers) are the vertices of a square. Then The area of the square is

The roots of the equation z^(4) + az^(3) + (12 + 9i)z^(2) + bz = 0 (where a and b are complex numbers) are the vertices of a square. Then The area of the square is

If a,b,c,d in R and all the three roots of az^3 + bz^2 + cz+ d=0 have negative real parts, then