If the curve \( y=a x^{2}+b x+c, x \in R \), passes through the point \( (1,2) \) and the tangent line to this curve at …

If the curve \( y=a x^{2}+b x+c, x \in R \), passes through the point \( (1,2) \) and the tangent line to this curve at origin is \( y=x \), then the possible values of \( a, b, c \) are:

[JEE Main 2021, 24 Feb (Shift 2)]