If $(\alpha ,{\alpha }^2)$   lies inside the triangle formed by the lines $2x + 3y – 1 = 0, x + 2y – 3 = 0,$$5x – 6y – 1 = 0,$ then which of the following is/are CORRECT?

O and the point $(\alpha ,{\alpha }^2)$ lie on the opposite sides 
w.r.t  $2x+3y-1=0$ . Hence,
$\Rightarrow 2\alpha +3{\alpha }^2-1>0$  ……….(i)
O and the point $(\alpha ,{\alpha }^2)$  llie on the same side
$\Rightarrow \alpha +2{\alpha }^2-3<0$  ……….(ii)
Again O and the point $(\alpha ,{\alpha }^2)$  lie on the same
side w.r.t.  $5x-6y-1=0$. Hence,
$5\alpha -6{\alpha }^2-1<0 \Rightarrow 6{\alpha }^2-5\alpha +1>0$