and line L posses through (0,1) , which is parallel to x-axis.
Thus equation of line L is
Parabola does not intersect line L ,so there are no points common in (i) and (ii).
In other words
`x^2+2=1` has no real solution.
Please add this to answer to complete the answer
Thus x has two distinct and real values if k -2 >0
k > 2