
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
In the rectangular coordinate system $(xOy)$, a pole coordinate system is established with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis. The parametric equation of the curve $C$ is given by $ \begin{cases} x= \sqrt {2}(\cos θ+\sin θ) \\ y= \sqrt {2}(\cos θ-\sin θ)\end{cases}(θ\text{ is a parameter})$, and the polar coordinates of the intersection points of curve $C$ and line $l$ are $(2, \dfrac {π}{3})$ and $(2, \dfrac {π}{6})$.
(1) Find the general equation of line $l$;
(2) Let $P$ be any point on curve $C$, find the maximum value of the distance from point $P$ to line $l$.

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