
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 rectangular coordinate system, the origin O is the pole, and the non-negative semi-axis of the x-axis is the polar axis. The polar coordinate equation of the curve C₁ is ρcos²θ=sinθ, and the parametric equation of the curve C₂ is $$\begin{cases} x= \frac {8k}{1+k^{2}} \\ y= \frac {2(1-k^{2})}{1+k^{2}}\end{cases}$$ (k is the parameter).

1. Find the rectangular coordinate equation of curve C₁ and the general equation of curve C₂.
2. Given point $$M(0, \frac {1}{2})$$, the parametric equation of line l is $$\begin{cases} x= \sqrt {3}t \\ y= \frac {1}{2}+t\end{cases}$$ (t is the parameter). If line l intersects curve C₁ at points P and Q, find the value of $$\frac {1}{|MP|}+ \frac {1}{|MQ|}$$.

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