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Eccentricity of ellipse x2a2+y2b2 = 1, if it passes through point (9, 5) and (12, 4) is ______. -

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Question

Eccentricity of ellipse `x^2/a^2 + y^2/b^2` = 1, if it passes through point (9, 5) and (12, 4) is ______.

Options

  • `sqrt(3/4)`

  • `sqrt(4/5)`

  • `sqrt(5/6)`

  • `sqrt(6/7)`

MCQ
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Solution

Eccentricity of ellipse `x^2/a^2 + y^2/b^2` = 1, if it passes through point (9, 5) and (12, 4) is `underlinebb(sqrt(6/7))`

Explanation:

e = `sqrt(1 - 1/7) = sqrt(6/7)`

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Conic Sections - Ellipse
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