JEE Advance - Mathematics (1985 - No. 32)

Find all the tangents to the curve
$$y = \cos \left( {x + y} \right),\,\, - 2\pi \le x \le 2\pi ,$$ that are parallel to the line $$x+2y=0$$.
2x + 4y - \pi = 0
2x + 4y + 3\pi = 0
x + 2y - \pi = 0
x + 2y + 3\pi = 0
2x - 4y + \pi = 0

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