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If D=|1 1 1 1 1+x1 1 1 1+y|"f o r"x!=0, ...

If `D=|1 1 1 1 1+x1 1 1 1+y|"f o r"x!=0, y!=0` then D is (1) divisible by neither x nor y (2) divisible by both x and y (3) divisible by x but not y (4) divisible by y but not x

Text Solution

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`D=[[1,1,1],[1,1+x,1],[1,1,1+y]]`
`=(1+x)(1+y)-1-(1+y)+1+1-(1+x)`
`=1+x+y+xy-1-1-y+1+1-1-x`
`=3-3+xy`
`=xy`
option`2`
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