Find the points on the curve `x^2+y^2-2x-3=0`at which the tangents are parallel to the x-axis.

Explanation

To find the points on the curve \(x^2 + y^2 - 2x - 3 = 0\) where the tangents are parallel to the x-axis, we follow these steps:

### Step 1: Rewrite the equation of the curve
We start with the given equation of the curve:
\[ x^2 + y^2 - 2x - 3 = 0 \]
We can rearrange this equation to express \(y^2\) in terms of \(x\):
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