If \( tan x/2= tan y/3 = tan z/5\) and x + y + z = π, then the value of tan 2 x + tan 2 y + tan 2 z is:

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Mathematics Trigonometric Equations Hard

If \(\rm \frac{\tan x}{2}= \frac{\tan y}{3} = \frac{\tan z}{5}\) and x + y + z = π, then the value of tan2 x + tan2 y + tan2 z is:

(A) \(\frac{38}{3}\)

(B) \(\frac38\)

(C) \(\frac{11}4\)

(D) None of these.

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Correct Solution: Option A

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