Consider, \( f(x)=\tan ^{-1}\left(\frac{\sqrt{1-4 x^{2}}-2 \sqrt{3}...
Consider, \( f(x)=\tan ^{-1}\left(\frac{\sqrt{1-4 x^{2}}-2 \sqrt{3} x}{\sqrt{3-12 x^{2}}+2 x}\right) \)
\( \mathrm{P} \)
The value of \( f\left(\frac{\sqrt{3}+1}{4 \sqrt{2}}\right)+f\left(\frac{1}{2 \sqrt{2}}\right) \) is equal to :
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(a) \( \frac{-5 \pi}{12} \)
(b) \( \frac{-\pi}{12} \)
(c) \( \frac{-\pi}{3} \)
(d) \( \frac{5 \pi}{12} \)
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