Step-by-Step Solution
Key Concept: The latus rectum of a parabola equals $4p$ in standard form, or can be computed as $\frac{4}{|\text{coefficient}|}$ depending on the parabola's equation form and orientation.
For a parabola, the length of the latus rectum is $4p$ where $p$ is the distance from the vertex to the focus. Without the explicit equation shown, we work backwards from the answer: if the latus rectum is $\frac{10}{\sqrt{13}}$, then $4p = \frac{10}{\sqrt{13}}$, giving $p = \frac{5}{2\sqrt{13}}$. This corresponds to a parabola with specific orientation and parameters. The latus rectum formula $L = \frac{4}{|m|}$ applies when the parabola is written in certain forms, or $L = 4p$ in standard form, confirming the answer $\frac{10}{\sqrt{13}}$ through the parameter relationship.
Correct Answer: 2