There is a set S such that
$S = \{(x_1,x_2):(x_1-1)^2+x_2^2=1 \}$
I need to find the conic hull of this set. So, I know that the conic hull is basically defined as
$\mathbb{cone}(S)=\{ \sum a_i x_i: x_i \in S \ , \ a_i \geq 0\}$
I'm confused about how to proceed from here for the set mentioned above. I have to show that
$\mathbb{cone}(S)=\{(x_1,x_2):x_1>0\} \ \cup \ \{(0,0)\} $