
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 a point $Q(2,0)$ on a Cartesian plane and a circle $C: x^{2}+y^{2}=1$, the ratio of the length of the tangent from a moving point $M$ to the circle $C$ to the distance $|M Q|$ is equal to a constant $\lambda$ ($\lambda > 0$). Find the equation of the locus of the moving point $M$.

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