At what points the slope of the tangent to the curve x 2 + y 2 – 2x – 3 = 0 is zero.

Question

Philoid · Accepted Answer

Given that the curve x² + y² – 2x – 3 = 0

Differentiation on both the sides,

According to the question,

Slope of the tangent = 0

⇒ x = 1

Putting this in equation of curve,

1 + y² – 2 – 3 = 0

⇒ y² = 4

⇒ y = ±2

So, the required points are (1, 2) and (1, -2)