CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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Question 29 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 14, 2026 by

The value of š‘ for which the function š‘“(š‘„) = š‘„ + š‘š‘œš‘  š‘„ + š‘ is strictly decreasing over R is:

(a) š‘ < 1  (b) No value of b exists

(c) š‘ ≤ 1  (d) š‘ ≥ 1

Ques 29 (MCQ) - The value of š‘ for which š‘“(š‘„) = š‘„ + š‘š‘œš‘ š‘„ + š‘ - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - Question 29 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 29 The value of š‘ for which the function š‘“(š‘„) = š‘„ + š‘š‘œš‘  š‘„ + š‘ is strictly decreasing over R is: (a) š‘ < 1 (b) No value of b exists (c) š‘ ā‰¤ 1 (d) š‘ ā‰„ 1 Given š‘“(š‘„) = š‘„ + š‘š‘œš‘  š‘„ + š‘ Now, š‘“ā€™(š‘„) = 1 āˆ’ sin x Since š‘“(š‘„) is strictly decreasing over R š‘“ā€™(š‘„) < 0 1 āˆ’ sin x < 0 1 < sin x sin x > 1 Since āˆ’1 ā‰¤ sin x ā‰¤ 1 Thus, sin x > 1 is not possible Thus, for no value of b, š‘“(š‘„) is strictly decreasing So, the correct answer is (B)

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