[" If one root of the equation "z^(2)+(a+i)z+b+ic=0" be real.when a,"b in R" ,then "c^(2)+1],[[" (C) "+-48(omega-omega^(2)),],[" A) "0," (B) "=1],[" (D) none of these "]]

If one root of z^2 + (a + i)z+ b +ic =0 is real, where a, b, c in R , then c^2 + b-ac=

If one root of z^(2)+(a+i)z+b+ic=0 is real,where a,b,c in R, then c^(2)+b-ac=

If one root of the equation z^2-a z+a-1=0i s(1+i),w h e r ea is a complex number then find the root.

The common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(1985)+z^(100)+1=0 are: (A) 1,omega(B)1,omega^(2)(C)omega,omega^(2)(D) none of these

If 1 , omega , omega^(2) are the cube roots of unity then the values ((a+b omega+c omega^(2))/(c+a omega+b omega^(2))) + ((a+b omega+c omega^(2))/(b+c omega+a omega^(2))) = (A) 1 (B) 0 (C) -1 (D) None of these

If the equation ax^(2)+bx+c=0,0

If x=a+b, y=a omega+b omega^(2), z=a omega^(2)+b omega , then x y z=

If the equation ax^2 + bx + c = 0, 0 < a < b < c, has non real complex roots z_1 and z_2 then

If 1, omega and omega^(2) are the cube roots of unity, then (a+b+c) (a+b omega+c omega^(2))(a+b omega^(2) +c omega)=