` E_1: a+b+c=0 ` if 1 is a root of ` ax^2+bx+c=0 E_2: b^2-a^2=2ac` if `sin theta ,cos theta ` are the roots of `ax^2+bx+c=0 `

If sin theta,cos theta are the roots of the equation ax^(2)+bx+c=0 then

If sin thetaand cos theta are the roots of the equation ax^(2)-bx+c=0, then

If sin thetaand cos theta are the roots of the equation ax^(2)-bx+c=0, then

The condition that sin theta cos theta may be the roots of ax ^2 + bx +c=0 is

if sin theta and cos theta are roots of the equation ax^(2)-bx+c=0 then

Which of the following statements are correct E_(1) ) If a + b + c = 0 then 1 is a root of ax^(2) + bx + c = 0 . E_(2) ) If sin alpha, cos alpha are the roots of the equation ax^(2) + bx + c = 0 then b^(2)-a^(2) =2ac

If a=c=4b , then the roots of ax ^(2) + 4 bx + c =0 are