If the roots of the equation `ax^2 + bx + c = 0, a != 0 (a, b, c` are real numbers), are imaginary and `a + c < b,` then

If the two roots of the equation ax^2 + bx + c = 0 are distinct and real then

IF the roots of the equation ax ^2 +bx + c=0 are real and distinct , then

If the equation ax^(2) + bx + c = 0, a,b, c, in R have non -real roots, then

If the roots of the equation ax^(2)+bx+c=0 are real and distinct,then

If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and roots of the equation are non-real complex and a+c < b , then

If 2−i is one root of the equation ax^2+bx+c=0, and a,b,c are rational numbers, then the other root is ........

If a and c are the lengths of segments of any focal chord of the parabola y^(2)=bx,(b>0) then the roots of the equation ax^(2)+bx+c=0 are real and distinct (b) real and equal imaginary (d) none of these

If the roots of equation ax^(2)+bx+c=0;(a,b,c in R and a!=0) are non-real and a+c>b. Then

Prove that the roots of the equation bx^(2)+(b-c)x+(b-c-a)=0 are real if those of ax^(2)+2bx+2b=0 are imaginary and vice versa