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Let f:[0,\ oo)->R be a continuous fun...

Let `f:[0,\ oo)->R` be a continuous function such that `f(x)=1-2x+int_0^x e^(x-t)f(t)dt` for all `x in [0,\ oo)` . Then, which of the following statement(s) is (are) TRUE? The curve `y=f(x)` passes through the point `(1,\ 2)` (b) The curve `y=f(x)` passes through the point `(2,\ -1)` (c) The area of the region `{(x ,\ y) in [0,\ 1]xxR :f(x)lt=ylt=sqrt(1-x^2)}` is `(pi-2)/4` (d) The area of the region `{(x ,\ y) in [0,\ 1]xxR :f(x)lt=ylt=sqrt(1-x^2)}` is `(pi-1)/4`

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