If \( a, b, c \) be positive real numbers and the value of \( \theta=\tan ^{-1} \sqrt{\frac{a(a+...

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If \( a, b, c \) be positive real numbers and the value of \( \theta=\tan ^{-1} \sqrt{\frac{a(a+b+c)}{b c}}+\tan ^{-1} \sqrt{\frac{b(a+b+c)}{c a}}+ \) \( \tan ^{-1} \sqrt{\frac{c(a+b+c)}{a b}} \) then \( \tan \theta \) is equal to:
(a) 0
(b) 1
(c) \( \frac{a+b+c}{a b c} \)
(d) None of these
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