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Question

If f : D R f(x)=x2+bx+cx2+b1x+c1, where α, β are th roots of the equation x2+bx+c=0 and α1, β1 are the roots of x2+b1x+c1=0. Now, answer the following question for f(x). A combination of graphical and analytical approach may be helpful in solving these problems. If α1 and β1 are real, then f(x) has vertical asymptote at x=(α1, β1). Then if α1<α<β1<β, then


A

f(x) is increasing in α1, β1

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B

f(x) is decreasing in α, β

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C

f(x) is decreasing in β1, β

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D

f(x) is decreasing in (, α)

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