
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 equation of an ellipse $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 (a > b > 0)$, with an eccentricity of $e=\frac{\sqrt{3}}{2}$ and a minor axis length of $4$.
(1) Find the equation of the ellipse;
(2) Draw a chord through point $P(2,1)$ such that the chord is bisected by this point. Find the equation of the line containing this chord.

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