Mathematics Question from JEE Main 2023 · 6 April, Shift 1

The straight lines $\ell_1$ and $\ell_2$ pass through the origin and trisect the line segment of the line $L: 9x + 5y = 45$ between the axes. If $m_1$ and $m_2$ are the slopes of the lines $\ell_1$ and $\ell_2$, then the point of intersection of the line $y = (m_1 + m_2)x$ with $L$ lies on: