First slide

Tangents and normals

Question

At what point, the slope of the tangent to the curve $x^{2} + y^{2} - 2 x - 3 = 0$ is zero?

Moderate

A

$(3, 0), (- 1, 0)$
B

$(3, 0), (1, 2)$
C

$(- 1, 0), (1, 2)$
D

$(1, 2), (1, - 2)$

Solution

Slope of tangent $= 0$
$\Rightarrow \frac{d y}{d x} = 0 \Rightarrow 2 - 2 x = 0 \Rightarrow x = 1$ .

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