
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]


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In the rectangular coordinate system xOy, the parametric equation of line l is $$\begin{cases} \overset{x=2+t}{y=-1+t}\end{cases}$$ (t is the parameter), and the polar coordinate system is established with the origin as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of curve C is ρ = 2$$\sqrt {2}$$acos(θ + $$\frac {π}{4}$$) (a > $$\frac {5}{6}$$).
(I) Write the ordinary equation of line l and the rectangular coordinate equation of curve C respectively;
(II) Given point P(2, -1), line l intersects curve C at points M and N. If |MN|^2 = 6|PM|•|PN|, find the value of a.

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