If `alpha,beta` are the roots of `x^2+ax-b=0` and `gamma,delta` are the roots of `x^2+ax+b=0` then `(alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta)=`

If alpha,beta are the roots of x^2+p x+q=0 and gamma,delta are the roots of x^2+p x+r=0, then ((alpha-gamma)(alpha-delta))/((beta-gamma)(beta-delta))= (a) \ 1 (b) \ q (c) \ r (d) \ q+r

If alpha,beta are the roots of x^(2)+px+q=0and gamma,delta are the roots of x^(2)+px+r=0, then ((alpha-gamma)(alpha-delta))/((beta-gamma)(beta-delta))= a.1b.q c.r d.q+r

If alpha,beta are the roots of x^(2)+px+q=0and gamma,delta are the roots of x^(2)+rx+s=0, evaluate (alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta) in terms of p,q,r, ands.Deduce the condition that the equation has a common root.

If alpha,beta are the roots x^2+px+q =0 and gamma,delta are the roots of x^2+rx+s =0, evaluate (alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta) in terms of p,q,r and s. Deduce the condition that the equation may have a common root.

If alpha,beta be the roots of x^(2)+x+2=0 and gamma, delta be the roots of x^(2)+3 x+4=0 then (alpha+gamma)(alpha+delta)(beta+gamma)(beta+delta)=

If alpha,beta be the roots x^2+px-q=0 and gamma,delta be the roots of x^2+px+r=0, p+rphi0 ,then ((alpha-gamma)(alpha-delta))/((beta-gamma)(beta-delta)) is equal to

If alpha, beta be the roots of x^(2)+x+2=0 and gamma, delta be the roots of x^(2)+3 x+4=0 , then (alpha+gamma)(alpha+delta)(beta+gamma)(beta+delta) is equal to

If alpha , beta are the roots of x^2 +px -q=0 and gamma , delta are the roots of x^2 +px+r=0 then (alpha - gamma ) ( beta - gamma) ( alpha - delta ) ( beta- delta )=

If alpha , beta are the roots of x^2 + px +1=0 and gamma , delta are the roots of x^2 +qx +1=0 then (alpha - gamma )(beta - gamma)(alpha + delta )( beta + delta )=