Given the roots of equation `ax^2+bx+c` are real and distinct then the graph will lie in which quadrant

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

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

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

If roots of the quadratic equation bx^(2)-2ax+a=0 are real and distinct then

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

Prove that the roots of the quadratic equation ax^(2)-3bx-4a=0 are real and distinct for all real a and b,where a!=b.

If b^(2)gt4ac then roots of equation ax^(4)+bx^(2)+c=0 are all real & distinct if :

Let alpha and beta be the real and distinct roots of the equation ax^2+bx+c=|c|,(agt0) and p,q be the real and distinct roots of the equation ax^2+bx+c=0. Then which of the following is true? (A) p and q lie between alpha and beta (B) p and q lies outside (alpha, beta) (C) only p lies between alpha and beta (D) only q lies between (alpha and beta)

Let alpha and beta be the real and distinct roots of the equation ax^2+bx+c=|c|,(agt0) and p,q be the real and distinct roots of the equation ax^2+bx+c=0. Then which of the following is true? (A) p and q lie between alpha and beta (B) p and q lies outside (alpha, beta) (C) only p lies between alpha and beta (D) only q lies between (alpha and beta)