1.

Let f(x)-=(x^(2) +bx+c)/(x^(2)+b_(1)+c_(1)) where alpha,beta are the roots of the equation x^(2)+bx+c=0andalpha_(1),beta 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)andbeta_(1) are real then f(x)has vertical asymptote at x=alpha_(1),beta_(1) If alpha_(1)ltbeta_(1)ltalphaltbeta then

Answer»

f(x) has a MAXIMA in `[alpha_(1),beta_(1)]` and a minima in `[alpha,beta]`
f(x) has a minima in `(alpha_(1),beta_(1))` and a maxima in `(alpha,beta)`
`f(x)GT0` wherever DEFINED
`f(x)lt0` wherever defined

Answer :A


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