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Find the ratio of the eccentricities of...

Find the ratio of the eccentricities of the hyperbolas `2x^(2) - 3y^(2) = 1 ` and `3x^(2) - 2y^(2) = 1 `

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The correct Answer is:
`:. e_(1):e_(2) = sqrt((5)/(3)):sqrt((5)/(3))=(1)/(sqrt(3)):(1)/(sqrt(2))=sqrt(2):sqrt(3)`
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