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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) has no integral solution, then all possible values of a lie in the interval :

1. (– ∞ , –2) ∪ (2, ∞ )
2. (–1, 0) ∪ (0, 1)
3. (1, 2)
4. (–2, –1) CAREER POINT , CP Tower, IPIA, Road No.1, Kota (Raj.), : 0744-6630500 www.ecareerpoint.com Email: info@cpil.in 15 / 40 CAREER POINT [ CODE – F ]

Correct answer: (–1, 0) ∪ (0, 1)

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