\(\left(d\right)\cap\left(P\right)\Rightarrow\left\{{}\begin{matrix}\frac{1}{4}x_1^2=kx_1+m\\\frac{1}{4}.x_2^2=kx_2+m\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\frac{1}{4}.4=-2k+m\\\frac{1}{4}.4^2=4k+m\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}k=\frac{1}{2}\\m=2\end{matrix}\right.\)