Mathematics

Mathematics

Problem

Let E1:x264+y249=1E_{1}:\dfrac{x^{2}}{64}+\dfrac{y^{2}}{49}=1 and E2:x281+y264=1E_{2}:\dfrac{x^{2}}{81}+\dfrac{y^{2}}{64}=1. Which statement about their eccentricities e1e_{1} and e2e_{2} is correct? a) e1=e2e_{1}=e_{2} b) e1>e2e_{1}>e_{2} c) e1<e2e_{1}<e_{2} d) Both have e>1e>1

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