The intercepts on x-axis made by tangents to the curve, $\begin{align*} y = \int_0^x |t| dt. x \in R \end{align*}$. which are parallel to the line $y = 2x$, are equal to

Question

( A ) $\pm 2$
( B ) $\pm 1$
( C ) $\pm 4$
( D ) $\pm 3$