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JEE Advance - Mathematics (1987 - No. 7)

The solution set of the system of equations $$X + Y = {{2\pi } \over 3},$$ $$cox\,x + cos\,y = {3 \over 2},$$ where x and y are real, is _____.
{{{\pi } \over 3}, {{\pi } \over 6}}
{{{\pi } \over 4}, {{\pi } \over 12}}
\phi
{{{\pi } \over 2}, {{\pi } \over 8}}
{{{\pi } \over 6}, {{\pi } \over 3}}

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