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The equation of tangents to the curve y=...

The equation of tangents to the curve `y=cos(x+y), -2pi le x le 2pi` that are parallel to the line `x+2y=0`, is

A

`x+2y=(pi)/(2)" "x+2y=-(3pi)/(2)`

B

`x+2y=(pi)/(2)" "x+2y=(3pi)/(2)`

C

`x+2y=0" "x+2y=pi`

D

None of these

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The correct Answer is:
A
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