Which of the following equations represents a hyperbola whose eccentricity is exactly ?

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

Problem

Which of the following equations represents a hyperbola whose eccentricity is exactly 22? (a) x227−y29=1\dfrac{x^{2}}{27}-\dfrac{y^{2}}{9}=1 (b) x29−y236=1\dfrac{x^{2}}{9}-\dfrac{y^{2}}{36}=1 (c) x29−y227=1\dfrac{x^{2}}{9}-\dfrac{y^{2}}{27}=1 (d) x216−y228=1\dfrac{x^{2}}{16}-\dfrac{y^{2}}{28}=1

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