
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 circle $O: x^{2}+y^{2}=1$ and parabola $E: y=x^{2}-2$, with $O$ being the origin.

(Ⅰ) It is known that line $l$ is tangent to circle $O$ and intersects parabola $E$ at points $M$ and $N$, satisfying $OM \perpendicular ON$. Find the equation of line $l$.

(Ⅱ) Through a point $P(x_{0},y_{0})$ on parabola $E$, two lines $PQ$ and $PR$ are drawn to be tangent to circle $O$ and intersect parabola $E$ at points $Q$ and $R$ respectively. If the slope of line $QR$ is $-\sqrt{3}$, find the coordinates of point $P$.

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