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For 0 lt c lt b lt a ,let (a+b-2c)x^(2)+...

For `0 lt c lt b lt a` ,let `(a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0` and `alpha!=1` be one of its root.Then,among the two statements
(I) If `alpha in(-1,0)` ,then "b" cannot be the geometric mean of "a" and "c
(II) If `alpha in(0,1)` ,then "b" may be the geometric mean of "a" and "c

A

only (I) is true

B

only (II) is true

C

Both (I) and (II) are true

D

Neither (I) nor (II) is true

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