Equation of the curve 
……….(i)
[tangent is parallel to 
axis]
From eq. (i), 
Therefore, the required points are (1, 2) and 
Find the points on the curve x ^2 + y ^2 – 2x – 3 = 0 at which the tangents are parallel to the x-axis.
Find the points on the curve x ^2 + y ^2 – 2x – 3 = 0 at which the tangents are parallel to the x-axis.