If the maximum value of a, for which the function f_a(x)=\tan ^{-1} 2 x-3 a x+7 is non-decreasing in (-\frac{\pi}{6}, \frac{\pi}{6}), is \overline{a}, then f_{\overline{a}}(\frac{\pi}{8}) is equal to [26-Jul-2022-Shift-2]

Correct Answer is : 8−9π4(9+π2)

JEE Mains 26-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 6 of 90

Marks: +1, -0

If the maximum value of a, for which the function fa(x)=tan−12x−3ax+7 is non-decreasing in (−‌

,‌

), is a, then fa(‌

) is equal to

[26-Jul-2022-Shift-2]

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