x^(2)-5x+c" land "alpha-B=1," then "c=

If the roots of a_1x^(2)+b_1x+c_1=0 and alpha_1 , beta_1 and those of a_2x^(2)+b_2x+c_2=0 are alpha_2 , beta_2 such that alpha_1alpha_2=beta_1beta_2=1 then :

If the roots of a_1x^(2)+b_1x+c_1=0 and alpha_1 , beta_1 and those of a_2x^(2)+b_2x+c_2=0 are alpha_2 , beta_2 such that alpha_1alpha_2=beta_1beta_2=1 then :

If f(x) =a+bx+cx^(2) and alpha,beta "and" gamma are the roots of the equation x^(3)=1 , then |{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

If f(x) =a+bx+cx^(2) and alpha,beta "and" gamma are the roots of the equation x^(3)=1 , then |{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

If alpha satisfies the equation x^(2)+x+1=0 and (1+alpha)^(7)=A+B alpha+C alpha^(2) , A,B,C ge 0 , then 5(3A-2B-C) is equal to

If alpha,\ beta are the zeros of the polynomial f(x)=x^2-p(x+1)-c such that (alpha+1)(beta+1)=0 , then c= (a) 1 (b) 0 (c) -1 (d) 2

If alpha,beta are the zeros of the polynomial f(x)=x^(2)-p(x+1)-c such that (alpha+1)(beta+1)=0, then c=( a )1(b)0(c)-1(d)2

If f(x)=a+b x+c x^2 and alpha,beta,gamma are the roots of the equation x^3=1,t h e n \ |[a,b,c],[b,c,a],[c,a,b]| is equal to