
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
A polar coordinate system is established with the origin O as the pole and the positive semi-axis of the x-axis as the polar axis. The polar coordinate equation of the curve C₁ is $$ρ^{2}= \frac {3}{2+cos2\theta }$$, and in the rectangular coordinate system xOy, the parametric equation of the curve C₂ is $$\begin{cases} \overset{x=-1+t}{y=7-t}\end{cases}$$ (t is the parameter).
(1) Find the rectangular coordinate equation of the curve C₁ and the general equation of the curve C₂.
(2) Given that point P is on the curve C₁ and point Q is on the curve C₂, if $$|PQ|=2 \sqrt {2}$$, find the rectangular coordinates of point P at this time.

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