1.

A decimal number 'm' (say) can be expressed as m=1+D where lrarr integer part and Drarr decimal part, 0leDlt1 and [m]= greatest integer less than or equal to m if 0ltDlt0.5 Hence, f(x, y)={{:([x+y]if0ltDlt0.5),({x+y} if 0.5leDlt1),((x+y)" otherwise"):} "Also,"F(f(x, y))=-f(x, y) "and"G(f(x, y))=-F(f(x, y)) Which of the following statements is true if x and y are positive ?

Answer»

`F(f(X, y)).G(f(x, y)) = -F(f(x, y)).G(f(x, y))`
`F(f(x, y)).G(f(x, y)) GT -F(f(x, y)).G(f(x, y))`
`F(f(x, y)).G(f(x, y))NEG(f(x, y)).F(f(x, y))`
`F(f(x, y)+G(f(x, y))+F(x, y)=F(x, y)`

Answer :D


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