Find the point on the curve where the tangent is parallel to the x-axis.
If the tangent is parallel to x-axis it means that it’s slope is 0
2x + 2y(0) – 2 = 0
x = 1
(1)2 + y2 – 2(1) – 3 = 0
⇒ y2 = 4 ⇒ y = 2 and y = -2
So, the requied points are (1, 2) and (1, -2).