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If a ∈ R and the equation -3(x - [x])^2 + 2(x - [x]) + a^2 = 0 (where, [x] denotes the greatest integer ≤ x)

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If a ∈ R and the equation -3(x - [x])2 + 2(x - [x]) + a2 = 0 (where, [x] denotes the greatest integer ≤ x) has no integral solution, then all possible values of a lie in the interval

(a) (-1, 0) ∪ (0, 1)

(b) (1, 2)

(c) (-2, -1)

(d) (-∞, - 2) ∪ (2, ∞)

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1 Answer

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Best answer

Correct option (a) (-1, 0) ∪ (0, 1)

Explanation:

For no integral solution of a. we consider the interval (-1, 0) ∪ (0, 1)

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