
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
(Ⅰ) In the polar coordinate system, find the distance from point $P(2, \frac{11\pi}{6})$ to the line $\rho\sin (\theta-\frac{\pi }{6})=0$;

(Ⅱ) The curve $\begin{cases} & x=t \\ & y=at-2 \end{cases}$ (where $t$ is a parameter) and $x^{2}+y^{2}=1$ have only one common point, find the value of the real number $a$.

Present the answer in LaTex format: \boxed{Your answer}
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