What is Latus Rectum of Parabola?

The Latus Rectum of a parabola is a specific line segment that has certain properties related to the parabola's focus and vertex. Here's the explanation:

1. Definition of Latus Rectum:
   • The Latus Rectum is a line segment that passes through the focus of the parabola and is perpendicular to the axis of symmetry.
   • It has endpoints on the parabola itself and is used to measure the "width" of the parabola at the focus.
2. Key Properties:
   • The length of the Latus Rectum is proportional to the distance between the vertex and the focus of the parabola.
   • The Latus Rectum is always perpendicular to the axis of symmetry of the parabola.
3. Final answer:

   The Latus Rectum of a parabola is a line segment passing through the focus and perpendicular to the axis of symmetry. Thus, the correct answer is:

   A. line segment