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.

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

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

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, then find the equation whose roots are given by (i)alpha+(1)/(beta),beta+(1)/(alpha)

If alpha and beta are the roots of the quation ax^(2)+bx+c=0 , then find the equation whose roots are given by (i) alpha+1/(beta), beta+1/(alpha) (ii) alpha^(2)+2,beta^(2)+2