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Quadratic Equation and Inequalities question

2014 · Shift 0 · Q41

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2014 · Shift 0 · Q41

Quadratic Equation and Inequalities question

2014 · Shift 0 · Q41

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

If

a \in R

and the equation

- 3{\left( {x - \left[ x \right]} \right)^2} + 2\left( {x - \left[ x \right]} \right) + {a^2} = 0

(where [

x

] denotes the greater integer

\le x

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

A
$\left( { - 2, - 1} \right)$
B
$\left( { - \infty , - 2} \right) \cup \left( {2,\infty } \right)$
C
$\left( { - 1,0} \right) \cup \left( {0,1} \right)$
D
$\left( {1,2} \right)$

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