
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 following statements:
The moving point M(x, y) is such that the product of the slopes of the lines from M to two fixed points (-3, 0) and (3, 0) is $\frac {16}{9}$. If the trajectory of M(x, y) is the curve C, and F<sub>1</sub> and F<sub>2</sub> are the left and right foci of curve C respectively, then among the following statements:
(1) The coordinates of the foci of curve C are F<sub>1</sub>(-5, 0), F<sub>2</sub>(5, 0);
(2) When x < 0, the center of the incircle of the triangle $\triangle$F<sub>1</sub>MF<sub>2</sub> lies on the line x = -3;
(3) If $\angle$F<sub>1</sub>MF<sub>2</sub> = 90°, then the area of $\triangle$F<sub>1</sub>MF<sub>2</sub> is 32;
(4) Let A(6, 1), the minimum value of |MA| + |MF<sub>2</sub>| is $2 \sqrt {2}$;
The correct statement(s) is/are: ________.

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