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If the line y=x touches the curve y=x^2+...

If the line `y=x` touches the curve `y=x^2+b x+c` at a point `(1,\ 1)` then
(a)`b=1,\ c=2`
(b) `b=-1,\ c=1`
(c) `b=2,\ c=1`
(d) `b=-2,\ c=1`

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