<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 A line passing through the point $(1,0)$ and parallel to the line $x-\sqrt{2}y+3=0$ intersects the circle ${(x-6)}^{2}+{(y-\sqrt{2})}^{2}=12$ to form a chord of length ______. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
6
A line passing through the point $(1,0)$ and parallel to the line $x-\sqrt{2}y+3=0$ intersects the circle ${(x-6)}^{2}+{(y-\sqrt{2})}^{2}=12$ to form a chord of length ______.
test