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 can follow these steps:

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