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Let f be a real valued differentiable fu...

Let f be a real valued differentiable function satisfying `f(x + y) =f(x) + f(y)-xy-1, AA x, y in R` and f(1)=1. (i) Equation ofthe normal to the graph of f(x) at the point where y=f(x) cuts the y-axis, is (ii) area enclosed by the curve `y=f(x)` in the first quardrant:

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