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Consider the function f:(-oo, oo) -> (-...

Consider the function `f:(-oo, oo) -> (-oo ,oo)` defined by `f(x) =(x^2 - ax + 1)/(x^2+ax+1) ;0 lt a lt 2`. Which of the following is true ?

A

f(x) is decreasing on `(-1,1)` and has a local minimum at x=1

B

f(x) is increasing on (-1,1) and has maximum at x=1

C

f(x) is increasing on (-1,1) but has neither a local maximum nor a local minimum at x=1`

D

f(x) is decreasing on (-1,1) but has neither a local maximum nor a local minimum at x=1.

Text Solution

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The correct Answer is:
A
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