1.

ABC is a triangle such that \[\sin (2A+B)=\] \[\sin (C-A)=\] \[-\sin (B+2C)=\frac{1}{2}\]. If A, B and C are in A.P., then A, B and C are

A. \[{{30}^{o}},{{60}^{o}},{{90}^{o}}\]
B. \[{{45}^{o}},{{60}^{o}},{{75}^{o}}\]
C. \[{{45}^{o}},{{45}^{o}},{{90}^{o}}\]
D. \[{{60}^{o}},{{60}^{o}},{{60}^{o}}\]
Answer» C. \[{{45}^{o}},{{45}^{o}},{{90}^{o}}\]


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