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If the maximum value of a, for which the function fa(x) = tan-1 2x - 3ax + 7 is non-decreasing in \(\left(-\frac\pi6, \frac \pi6\right)\), is \(\bar a\), then \(f_{\bar a} \left(\frac \pi 8\right)\) is equal to(A) \(8 - \frac{9\pi}{4(9 + \pi^2)}\)(B) \(8 - \frac{4\pi}{9(4 + \pi^2)}\)(C) \(8\left(\frac{1 + \pi^2}{9 + \pi^2}\right)\)(D) \(8 - \frac\pi4\) |
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Answer» Correct option is (A) \(8 - \frac{9\pi}{4(9 + \pi^2)}\) |
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