
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 that the center of the ellipse C is at the origin O, the foci are on the coordinate axis, the line $y= \frac {3}{2}x$ intersects with the ellipse C at point M in the first quadrant, the projection of point M on the x-axis is exactly the right focus $F_{2}$ of the ellipse C, the other focus of the ellipse C is $F_{1}$, and $\overrightarrow {MF_{1}}$• $\overrightarrow {MF_{2}}$= $\frac {9}{4}$
(1) Find the equation of the ellipse C;
(2) Let the line l pass through point A(2,0) and intersect with C at point B (B is not on the x-axis), the line perpendicular to l intersects with l at point P and with the y-axis at point Q. If $BF_{2}$⊥$QF_{2}$, and ∠POA=∠PAO, find the equation of line l.

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