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

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