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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
A solution (x,y)(x, y) of the system of equation x−y=1/3x-y=1 / 3 and cos⁡2(πx)−sin⁡2(πy)=1/2\cos ^2(\pi x)-\sin ^2(\pi y)=1 / 2 is given by
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Correct option: C
(13/6,11/6)(13 / 6,11 / 6)
Option C ((13/6,11/6)(13 / 6,11 / 6)) is correct because it satisfies both equations of the given system when n=2n=2.

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