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suchintan mondal Grade: 12
        

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)

7 years ago

Answers : (1)

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


                         

7 years ago
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