Mathematics · 2021
JEE Main · 24 February 2021, Shift 2 · Q70
If the curve y= a x^2+ b x+ c, x ∈ R, passes through the point (1,2) and the tangent line to this curve at origin is y=x, then the possible values of…
If the curve $\displaystyle y=\mathrm{a} x^2+\mathrm{b} x+\mathrm{c}, x \in \mathbf{R}$, passes through the point $\displaystyle (1,2)$ and the tangent line to this curve at origin is $\displaystyle y=x$, then the possible values of $\displaystyle \mathrm{a}, \mathrm{b}, \mathrm{c}$ are :
Official answer
(1)
$\displaystyle a=1, b=1, c=0$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.