f: `D->R, f(x) = `(x^2 +bx+c)/`(x^2+b_1 x+c_1)` where`alpha,beta` are the roots of the equation `x^2+bx+c=0` and `alpha_1,beta_1` are the roots of `x^2+b_1 x+ c_1= 0`. Now answer the following questions for f(x). A combination of graphical and analytical approach may be helpful in solving these problems. (If `alpha_1 and beta_1` are real, then f(x) has vertical asymptote at x = `alpha_1,beta_1`

Options

A. `f^(')(x)=0` has real and distinct roots
B. `f^(')(x)=0` has real and equal roots
C. `f^(')(x)=0` has imaginary roots.
D. `f(x)=1` has atleast one real root

Explanation

NA