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A point P(x,y) moves such that [x+y+1]=[...

A point `P(x,y)` moves such that `[x+y+1]=[x]`. Where [.] denotes greatest intetger function and `x in (0,2)`, then the area represented by all the possible position of P , is

A

2 sq. units

B

8 sq. units

C

`sqrt(2)` sq. units

D

4 sq. units

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The correct Answer is:
A
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