
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 parameteric equation of curve $C\_1$ is $ \begin{cases} x=2\cos θ \\\\ y=\sin θ\end{cases} (θ \text{ is the parameter})$, establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar coordinate equation of curve $C\_2$ is $ρ=2\sin θ$.

1. Write out the polar coordinate equation of $C\_1$ and the rectangular coordinate equation of $C\_2$.
2. Given points $M\_1$ and $M\_2$ have polar coordinates $(1, \dfrac {π}{2})$ and $(2,0)$ respectively, the line $M\_1M\_2$ intersects with curve $C\_2$ at points $P$ and $Q$. The ray $OP$ intersects with curve $C\_1$ at point $A$, and the ray $OQ$ intersects with curve $C\_1$ at point $B$. Calculate the value of $\dfrac {1}{|OA|^{2}}+ \dfrac {1}{|OB|^{2}}$.

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