lf `sin alpha` and `cos alpha` are the roots of the equation `ax^2 + bx + c = 0` then prove that `a^2+2ac = b^2`

If sin alpha and cos alpha are the roots of the equition ax^(2) + bx + c = 0 , then

If sin alpha and cos alpha are the roots of the equation ax^(2)+bx+c=0 then prove that a^(2)+2ac=b^(2)

If sin alpha, cos alpha are the roots of the equation ax^2 + bx + c = 0 (c ne 0) , then prove that (a+c)^2 = b^2 + c^2 .

If sin alpha,cos alpha are the roots of the equation x^(2)+bx+c=0(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 sin alpha and cos alpha are the roots of the equation ax^(2)-bx-1=0 , then find the relation between a and b.