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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

`(2-a)^(2)f(1)+(2-a)^(2)f(-1)=0`

B

`(2-a)^(2)f"(1)-(2-a)^(2)f"(-1)=0`

C

`f'(1)f'(-1)=(2-a)^2`

D

`f'(1)f'(-1)=-(2+a)^2`

Text Solution

Verified by Experts

The correct Answer is:
A
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