Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The slope of normal to the curve $y=f(x)$ is m, then :

Options:

$m=-\frac{dy}{dx}$

$m=\frac{dy}{dx}$

$m=\frac{dx}{dy}$

$m=-\frac{dx}{dy}$

Correct Answer:

$m=-\frac{dx}{dy}$

Explanation:

The correct answer is Option (4) → $m=-\frac{dx}{dy}$

Slope of tangent = $n=\frac{dy}{dx}$

we know that tangent ⊥ normal

$⇒mn=-1$

so $m=-\frac{1}{n}=-\frac{dx}{dy}$