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Question: Answered & Verified by Expert
The length of the latus rectum of an ellipse is 6 units and the distance between a focus and its nearest vertex on the major axis is $\frac{5}{3}$ units. If $e$ is the eccentricity of this ellipse, then $e$ satisfies the equation
MathematicsEllipseTS EAMCETTS EAMCET 2022 (20 Jul Shift 1)
Options:
  • A $25 x^2-40 x+16=0$
  • B $25 x^2+40 x-16=0$
  • C $25 x^2-40 x-16=0$
  • D $25 x^2+40 x-32=0$
Solution:
1599 Upvotes Verified Answer
The correct answer is: $25 x^2-40 x+16=0$
No solution. Refer to answer key.

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