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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: The ellipse E1 : x29+y24 = 1 is inscribed in a rectangle R whose sides are parallel to the co-ordinate axes. Another ellipse E2 passing through the point (0, 4) - Mathematics

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Question

Choose the correct alternative:

The ellipse E1 : `x^2/9 + y^2/4` = 1 is inscribed in a rectangle R whose sides are parallel to the co-ordinate axes. Another ellipse E2 passing through the point (0, 4) circumscribes the rectangle R. The eccentricity of the ellipse is

Options

  • `sqrt(2)/2`

  • `sqrt(3)/2`

  • `1/2`

  • `3/4`

MCQ
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Solution

`1/3`

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Tangents and Normals to Conics
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Chapter 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [Page 216]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.6 | Q 13 | Page 216
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