
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
In the rectangular coordinate system, the parametric equation of line $l$ is given by $\begin{cases} x=1+t \\ y=t-3 \end{cases}$ ($t$ is the parameter), and in the polar coordinate system with the origin $O$ as the pole and the positive semi-axis of the $x$-axis as the polar axis, the polar equation of curve $C$ is given by $ρ= \frac{2\cos θ}{\sin^2 θ}$.

1. Find the rectangular coordinate equation of curve $C$ and the general form equation of line $l$.
2. If line $l$ intersects curve $C$ at points $A$ and $B$, find the length of chord $AB$.

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