Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The tangent to a given curve is perpendicular to x - axis, if

Options:

$\frac{d y}{d x}=0$

$\frac{d y}{d x}=1$

$\frac{d x}{d y}=0$

$\frac{d x}{d y}=1$

Correct Answer:

$\frac{d x}{d y}=0$

Explanation:

If the tangent is perpendicular to x - axis, then

$\frac{d y}{d x} \rightarrow \pm \infty \Rightarrow \frac{d x}{d y}=0$