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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 …

Q1

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)]

a

\(a=-1, b=1, c=1\)

b

\(a=1, b=1, c=0\)

c

\(a=\frac{1}{2}, b=\frac{1}{2}, c=1\)

d

\(a=1, b=0, c=1\)

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