For the ellipse

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

For the ellipse x216+y29=1\dfrac{x^{2}}{16}+\dfrac{y^{2}}{9}=1, a student writes the endpoints of the latus rectum as (±3,4)(\pm 3,4). Is the student correct? Give a brief justification.

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