If the equation `ax^(2)+bx+c=0 (a lt 0)` has two roots `alpha` and `beta` such that `alpha lt -3` and `beta gt 3`, then

If a ne 0 and the equation ax ^(2) + bx +c=0 has two roots alpha and beta such that alpha le -3 and beta gt 2, which of the following is always true ?

ax^(2)+bx+c=0(a>0), has two roots alpha and beta such alpha 2, then

Let a,b,c be real if ax^(2)+bx+c=0 has two real roots alpha and beta where a lt -2 and beta gt2 , then

if alpha and beta are the roots of the equation ax^(2)+bx+c=0 and if px^(2)+qx+r=0 has roots (1-alpha)/(alpha) and (1-beta)/(beta) then r=?

If alpha,beta are roots of the equation ax^(2)+bx+c=0 then the equation whose roots are 2 alpha+3 beta and 3 alpha+2 beta is

ax^(2)+bx+c=0 has real and distinct roots alpha and beta(beta>alpha) .further a>0,b<0,c<0 then