If a Î R and the equation ( ) [ ] ( ) [ ] 2 2 – – + – += 32 0 xx xx a (where [x] denotes the greatest integer £ x ) has no integral solution, then all possible values of a lie in the interval:

Question:
If $a \in \mathrm{R}$ 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:

$(-2,-1)$
$(-\infty,-2) \cup(2, \infty)$
$(-1,0) \cup(0,1)$
$(1,2)$

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.

JEE Main Previous Year 2014

Solution:

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