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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Analyzing +4 | -1
The number of all possible ordered pairs (x, y),   x,  y∈R\left( {x,\,y} \right),\;\,x,\,\,y \in R satisfying the system of equations
x+y=2  π3,  cos⁡  x+cos⁡  y=32,   isx + y = \frac{{2\;\pi }}{3},\,\,\cos \,\,x + \cos \,\,y = \frac{3}{2},\;\,\mathrm{is}
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Correct option: A
0
Option A (0) is correct because the given system of equations has no solution, as the second equation leads to an impossible value for cosine.

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