Suppose \( a, b0 \) and \( \log _{9}(a)=\log _{12}(b)=\log _{16}(a+b) \) and \( \frac{b}{a}=2 \s...
Suppose \( a, b0 \) and \( \log _{9}(a)=\log _{12}(b)=\log _{16}(a+b) \) and \( \frac{b}{a}=2 \sin \theta \), then \( \theta \) lies is
(a) \( \left(0, \frac{\pi}{4}\right) \)
(b) \( \left(\frac{\pi}{4}, \frac{\pi}{2}\right) \)
(c) \( \left(\frac{\pi}{2}, \frac{2 \pi}{3}\right) \)
(d) \( \left(\frac{3 \pi}{4}, \pi\right) \)
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