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If alpha, beta (where alpha lt beta) are...

If `alpha, beta` (where `alpha lt beta`) are the points of discontinuity of the function `g(x) = f(f(x))`, where `f(x) = (1)/(1-x), and P(a, a^(2))` is any point on XY - plane. Then, If point `P(a, a^(2))` lies on the same side as that of `(alpha, beta)` with respect to line x + 2y - 3 = 0, then

A

`a in (-(3)/(2),1)`

B

`a in R`

C

`a in (-(3)/(2), 0)`

D

`a in (0, 1)`

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The correct Answer is:
A
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