Which of the following ellipses is flattest

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Which of the following ellipses is flattest, i.e. has the greatest eccentricity? (a) x225+y216=1\dfrac{x^{2}}{25}+\dfrac{y^{2}}{16}=1 (b) x2169+y2144=1\dfrac{x^{2}}{169}+\dfrac{y^{2}}{144}=1 (c) x236+y24=1\dfrac{x^{2}}{36}+\dfrac{y^{2}}{4}=1 (d) x2100+y281=1\dfrac{x^{2}}{100}+\dfrac{y^{2}}{81}=1

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