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Given x + sin y = 2009 and x + 2009 cos ...

Given x + sin y = 2009 and x + 2009 cos y = 2008, where `y in[0,(pi)/(2)]`, then [x+y] equals, where [.] represents the greatest integer function,

A

`alpha ^(2) + 2 alpha + 1=0`

B

`alpha ^(2) + 2 alpha -1 =0`

C

`2 alpha ^(2) - 2 alpha -1 =0`

D

`alpha ^(2) - alpha -1 =0`

Text Solution

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The correct Answer is:
B
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