Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

Tangents to the curve y = x3 at x = –1 and x = 1 are

Options:

parallel

intersecting obliquely but not at an angle of 45°

perpendicular to each other

intersecting at an angle of 45°

Correct Answer:

parallel

Explanation:

$y=x^3 \Rightarrow \frac{d y}{d x}=\left.3 x^2 \Rightarrow \frac{d y}{d x}\right|_{x=-1}=3$

and $\left.\frac{d y}{d x}\right|_{x=1}=3$. Hence tangents are parallel.