Concept explainers
To prove: The length of the latus rectum is twice the distance from the focus to the directrix.
Explanation of Solution
Given information: The perpendicular line passes through the focus and intersects the parabola at two points.
Proof: Let D be the directrix line and f be the focus point.
Hence,
As the line PQ is perpendicular to the axis:
The latus rectum of a parabola is the chord that passes through its focus. It is perpendicular to the major axis of a parabola. Its length is equal to the four times the focal length or just two times the distance from the focus to the directrix line.
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