If \( f: D \rightarrow R, f(x)=\frac{x^{2}+b x+c}{x^{2}+b_{1} x+c_{1}} \), where \( \alpha, \beta \) are the roots of the equation \( x^{2}+b x+c=0 \) 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 \( \left.x=\alpha_{1}, \beta_{1}\right) \). Then,
In the last problem, if \( bb_{1} \), then
(a) \( x \)-coordinate of point of minima is greater than the \( x \)-coordinate of point of maxima
(b) \( x \)-coordinate of point of minima is less than \( x \)-coordinate of point of maxima
(c) it also depends upon \( c \) and \( c_{1} \)
(d) nothing can be said
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