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If alpha, beta (alpha < beta) are the po...

If alpha, beta (alpha < beta) are the points of discontinuity of the function f(f(x)), where `f(x)= frac(1)(1-x)` then the set of values of a for which the points ( alpha , beta ) and (a , `a^2`) lie on the same side of the line x+2y-3 =0 is

A

`-(frac(3)(2,),1)`

B

`-(frac(3)(2,),1)`

C

`[1,infty]`

D

`[-infty,frac(3)(2)]`

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The correct Answer is:
A
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