Part of CG-03 — Parabola

Latus Rectum

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The latus rectum is the focal chord perpendicular to the axis. For y2y^2=4ax, it is the segment from (a, 2a) to (a, -2a) with length 4a. The semi-latus rectum is 2a. The endpoints correspond to t=1 and t=-1 (since t1*t2=-1). The latus rectum is the shortest focal chord. The area of the triangle formed by the tangents at the endpoints of the latus rectum and the latus rectum itself is 2a2a^2.

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