Question 13 - NCERT Exemplar - MCQs - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 16, 2024 by Teachoo

The maximum value of sin x . cos x is

(A) 1/4 (B) 1/2

(C) √2 (D) 2 √2

This question is similar to Ex 6.5, 9 - Chapter 6 Class 12 - Application of Derivatives

Next: Question 14 → Share on WhatsApp

Transcript

Question 13 The maximum value of sin x . cos x is (A) 1/4 (B) 1/2 (C) √2 (D) 2 √2 Let f(𝒙)=sin⁡𝑥∙cos⁡𝑥 =(2 sin⁡𝑥 cos⁡𝑥)/2 =(𝒔𝒊𝒏 𝟐𝒙)/𝟐 Since, −𝟏≤𝒔𝒊𝒏 𝜽≤𝟏 Putting 𝜃=2𝑥 −1≤sin⁡2𝑥≤1 Dividing by 2 −1/2≤(𝑠𝑖𝑛 2𝑥)/2≤1/2 −𝟏/𝟐≤𝒇(𝒙)≤𝟏/𝟐 ∴ Maximum value of 𝑓(𝑥) is 𝟏/𝟐. So, the correct answer is (B).

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular