For the equation `|x -1| + |x-3| - 2|x-2|=lamdax`, then which of the following is(are) correct?

If f(x)=(x)/(x^(2)-1), then which of the following is/are correct-

Let f(x)=(x-1)/(x^(2)) then which of the following is correct?

If alpha and beta are the roots of the equation 4x^(2)+2x-1=0 , then which one of the following is correct?

If alpha,beta are the roots of the equation x^(2) - x+1=0 then which one of the following is correct?

For the function f(x) = 2 x ^(3) - 3x ^(2) - 12 x + 4 which of the following statement is correct

Let equation x^(log_(2)x-4)=32 has two real solutions x_(1) and x_(2)(x_(1)>x_(2)), then which of the following is correct?

If p(x) is a common multiple of degree 6 of the polynomials f(x) = x^(3)+x^(2)-x-1 and g(x)=x^(3)-x^(2)+x-1 then which one of the following is correct ?