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

AP EAPCET 06-Jul-2022 Shift 2 Paper

Section: Mathematics

Question : 33 of 160

Marks: +1, -0

Let P be a real number and |P|≥2. If A,B,C are variable angles such that (√P2−4)‌tan‌A+P‌tan‌B+(√P2+4)‌tan‌C=6P, then the minimum value of tan2A+tan2B+tan2C=

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