If b \cos x+{b \cos 3 x}/{2} \≤ 3 for all x, then the number of integral values of b is ________

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JEE Advanced 2021 Full Test 5 Paper 2

SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded‐off to the second decimal place; e.g. XXXXX.XX).

Question : 54

Total: 54

If b‌cos‌x+

b‌cos‌3‌x

≤3 for all x, then the number of integral values of b is ________

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