
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
Given the parametric equation of curve $C$ as $ \begin{cases} x= \sqrt {2}\cos α \\ y=\sin α \end{cases} (α \text{ is the parameter})$, and line $l$ passing through point $P(1,0)$ intersects curve $C$ at points $A$ and $B$.

(1) Convert the parametric equation of curve $C$ into a standard form;

(2) Find the maximum and minimum values of $|PA| \cdot |PB|$.

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