Find the locus of a point which moves such that its distance from the origin is three times its distance from x-axis.

Explanation

To find the locus of a point that moves such that its distance from the origin is three times its distance from the x-axis, we can follow these steps:

### Step 1: Define the point
Let the point be \( P(x, y) \).

### Step 2: Calculate the distance from the origin
The distance of point \( P(x, y) \) from the origin \( O(0, 0) \) is given by the formula:
\[
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