Two statements are given below - one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R).

 

Assertion (A): The function f(x) = |x − 6|(cos x) is differentiable in š‘… − {6}.

Reason (R): If a function f is continuous at a point c, then it is also differentiable at that point.

 

A. Both (A) and (R) are true and (R) is the correct explanation for (A).

B. Both (A) and (R) are true but (R) is not the correct explanation for (A).

C. (A) is true but (R) is false.

D. (A) is false but (R) is true.

 

[Class 12] Assertion (A): The function f(x) = |x − 6|(cos x) - Practice Questions CBSE - Maths Class 12 (2023 Boards)

Remove Ads
Teachoo Ā· Class 12 Explore Class 12

Transcript

Two statements are given below - one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R). Assertion (A): The function f(x) = |x āˆ’ 6|(cos x) is differentiable in š‘… āˆ’ {6}. Reason (R): If a function f is continuous at a point c, then it is also differentiable at that point. A. Both (A) and (R) are true and (R) is the correct explanation for (A). B. Both (A) and (R) are true but (R) is not the correct explanation for (A). C. (A) is true but (R) is false. D. (A) is false but (R) is true.

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.