
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: $ \begin{cases} x=a\cos \alpha \\ y=b\sin \alpha \end{cases} (\alpha \text{ is the parameter})$, the point M(1, $ \frac { \sqrt {2}}{2}$) on curve C corresponds to the parameter $ \alpha= \frac {π}{4}$. Establish a polar coordinate system with the coordinate origin O as the pole and the positive semi-axis of the x-axis as the polar axis. The polar coordinates of point P are $( \sqrt {2}, \frac {π}{2})$. The line l passes through point P and intersects with curve C at two distinct points A and B.

1. Find the ordinary equation of curve C.
2. Find the range of values for $|PA| \cdot |PB|$.

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