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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) x 2 25 + y 2 16 = 1 \dfrac{x^{2}}{25}+\dfrac{y^{2}}{16}=1 25 x 2 + 16 y 2 = 1
(b) x 2 169 + y 2 144 = 1 \dfrac{x^{2}}{169}+\dfrac{y^{2}}{144}=1 169 x 2 + 144 y 2 = 1
(c) x 2 36 + y 2 4 = 1 \dfrac{x^{2}}{36}+\dfrac{y^{2}}{4}=1 36 x 2 + 4 y 2 = 1
(d) x 2 100 + y 2 81 = 1 \dfrac{x^{2}}{100}+\dfrac{y^{2}}{81}=1 100 x 2 + 81 y 2 = 1
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