If the roots of the equation `x^2- bx + c = 0 and x^2-cx+b=0` differ by the same quantity then b+c is equal to

If the equations ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common root then a : b : c is equal to

If the roots of the equation ax^(2)-bx-c=0 are changed by same quantity then the expression in a,b,c that does not change is

If the roots of the equation ax^2-bx-c=0 are changed by same quantity then the expression in a,b,c that does not change is

If the equation ax^2+2bx+c=0 and ax^2+2cx+b=0 b!=c have a common root ,then a/(b+c =

If the equations x^(2)+bx-1=0 and x^(2)+x+b=0 have a common root different from -1 then |b| is equal to

If the roots of the equation x ^(2) + 2 bx + c =0 are alpha and beta, then b ^(2) - c is equal to