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```        a point P moves in x-y plane in such a way that [x+y+1]=[x] and x belongs to (0,2).
find area of the region representing all possible positions of point P is___________
(here [ ] represents greatest integer function)```
8 years ago

Ramesh V
70 Points
```
The area is shown in shaded region
For 0<x<1 :
[x] = 0
so [x+y+1] shld be 0  i.e.,        0<x+y+1<1
x+y<0 and x+y+1>0
For 1<x<2 :
[x] = 1
so [x+y+1] shld be1  i.e.,        1<x+y+1<2
x+y>0 and x+y<1
Area of shaded regions is 2 sq.units

```
8 years ago
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