1.

If A and B are acute postitive angles satisfying the equations 3 \[{{\sin }^{2}}A+2{{\sin }^{2}}B=1\]and 3 \[\sin 2A-2\sin 2B=0\]then A+2B is equal to

A. \[\pi \]
B. \[\frac{\pi }{2}\]
C. \[\frac{\pi }{4}\]
D. \[\frac{\pi }{6}\]
Answer» C. \[\frac{\pi }{4}\]


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