If roots of   are such that at least one root is greaterthan 2, then  $a$ belongs to

   

 Case (i) when both roots are  
 , sum of roots >4
$\begin{array}{c}\Rightarrow (a-1)(a-9)\ge 0,4-2(a-3)+a>0,a-3>4\\ \Rightarrow a\le 1\cup a\ge 9,a<10,a>7\end{array}$ 
We have  
Case (ii) when only one root is >2 and other is  
 
$\Rightarrow a\ge 10\text{ and }a<1,a>9\Rightarrow$ We have  

$a\in [9,10)\cup [10,\mathrm{\infty })\Rightarrow a\in [9,\mathrm{\infty })$
From (1) &(2)