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For 0 < c < b < a, let (a + b – 2c)x 2 + (b + c – 2a)x + (c + a – 2b) = 0 and α ≠ 1 be one of its root. Then, among the two statements (I) If α ∈ (– 1, 0), then b cannot be the geometric mean of a and c (II) If α ∈ (0, 1) then b may be the geometric mean of a and c

1. Only (I) is true
2. Only (II) is true
3. Neither (I) nor (II) is true
4. Both (I) and (II) are ture

Correct answer: Both (I) and (II) are ture

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