How many tangents are parallel to x-axis for the curve $y = x^{2} - 4 x + 3$ ?

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No tangent is parallel to x-axis.

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Solution

The correct option is C 1
Slope of the tangent is $\frac{d y}{d x}$

So, $\frac{d y}{d x} = 2 x - 4$

Tangent parallel to x-axis. So, slope of tangent should be $0.$

$\Rightarrow 2 x - 4 = 0$

$\Rightarrow x = 2$ is the only point where slope is parallel to x-axis.

So, only 1 tangent exists.

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