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

Question

( A ) $(1, 2)$
( B ) $(-2, -1)$
( C ) $(-\infty, -2) \cup (2, \infty)$
( D ) $(-1, 0) \cup (0,1)$