
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
Suppose $4-4$: Coordinate Systems and Parametric Equations
In the Cartesian coordinate system $(xOy)$, point $A(2,0)$ is on the curve $C_{1}$: $ \begin{cases}x=a\cos φ \\\ y=\sin φ\end{cases}$ $(a > 0, φ$ is a parameter$)$. Establish a polar coordinate system with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis. The polar equation of the curve $C_{2}$ is: $ρ=a\cos θ$.
(I) Find the Cartesian equation of the curve $C_{2}$;
(II) Given that points $M$ and $N$ have polar coordinates $(ρ_{1},θ)$ and $(ρ_{2},θ+ \frac {π}{2})$, respectively, and both points lie on curve $C_{1}$, find the value of $\frac{1}{ρ_{1}^{2}}+ \frac{1}{ρ_{2}^{2}}$.

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