If a is real and | a| \geq 2 and A, B, C are variable angles such that \sqrt{a^2-4}\tan \A+a\tan \B +\sqrt{a^2+4}\tan \C=6a then the minimum value of \tan^2\A+\tan^2\B+\tan^2\C is

AP and TS EAMCET Engineering Model Paper 19

Question : 25 of 160

Marks: +1, -0

If a is real and |a|≥2 and A, B, C are variable angles such that √a2−4‌tan‌A+a‌tan‌B +√a2+4‌tan‌C=6a then the minimum value of tan2A+tan2B+tan2C is

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