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Find the equation of the hyperbola in s...

Find the equation of the hyperbola in standard form , if :
it is confocal with the ellipse ` (x^(2)//9) + (y^(2)//5) = 1`
and its eccentricity is (5/6) + eccentricity of the parabola ` 5y^(2) = 9x `

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The correct Answer is:
`(121x^(2))/(144) - (121y^(2))/(340) = 1` .
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MARVEL PUBLICATION-CIRCLE AND CONICS -MISCELLANEOUS MCQs
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  16. Circle x ^(2) + y^(2)+6y=0 touches

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