At what point, the slope of the tangent to the curve is ze…

Maths Differentiation and Applications of Derivatives General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

At what point, the slope of the tangent to the curve

is zero :

(3, 0); (-1, 0)

(3,0) ( 1,2)

(-1, 0) (1,2)

(1,2) (1, -2)

Text Solution

Verified by Experts

The correct answer is:

Given ………….(1)

Diff. w.r.t. x , we get

⇒ ⇒

Since the slope of the tangent to the curve is zero.

⇒ ⇒

⇒ ⇒ x = 1

Put in equation (1), we get

⇒ ⇒

Hence regd. points are (1,2) and (1, -2)

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