
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 Cartesian coordinate system xOy, the parametric equations of the curve C₁ are $$\begin{cases} x=2t^{2} \\ y=2t \end{cases}$$ (where t is the parameter). Establish a polar coordinate system with the origin O as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of the curve C₂ is $$ρ= \frac {2}{sin\theta +acos\theta }$$.
(I) Find the general equation of the curve C₁ and the rectangular coordinate equation of the curve C₂.
(II) If the curves C₁ and C₂ intersect at points M and N, and the slopes of the lines OM and ON are k₁ and k₂ respectively, find the value of k₁ + k₂.

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