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).


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