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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

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⁑π‘₯βˆ™cos⁑π‘₯ =(2 sin⁑π‘₯ cos⁑π‘₯)/2 =(π’”π’Šπ’ πŸπ’™)/𝟐 Since, βˆ’πŸβ‰€π’”π’Šπ’ πœ½β‰€πŸ Putting πœƒ=2π‘₯ βˆ’1≀sin⁑2π‘₯≀1 Dividing by 2 βˆ’1/2≀(𝑠𝑖𝑛 2π‘₯)/2≀1/2 βˆ’πŸ/πŸβ‰€π’‡(𝒙)β‰€πŸ/𝟐 ∴ Maximum value of 𝑓(π‘₯) is 𝟏/𝟐. So, the correct answer is (B).
  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise

    3. NCERT Exemplar - MCQs

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Chapter 6 Class 12 Application of Derivatives
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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