Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

The slope of normal to the curve $y=3x^2-6x$ at x= 0 is :

Options:

-6

$-\frac{1}{6}$

$\frac{1}{6}$

$-\frac{2}{3}$

Correct Answer:

$\frac{1}{6}$

Explanation:

$y=3x^2-6x$

differentiating wrt x

$\frac{dy}{dx}=6x-6$ (Slope of tangent)

$\frac{-dx}{dy}=\frac{1}{6-6x}$ (Slope of Normal)

at $x=6$ → $\frac{-dx}{dy}]_{x=0}=\frac{1}{6}$