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A parabola is drawn with focus at one of the foci of the ellipse ​​​​​where a > b, and directrix passing through the other focus and perpendicular to the major axis of the ellipse. If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is:

  • a)

  • b)
    2√2 – 1

  • c)
    √2 – 1

  • d)
    none of these

Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A parabola is drawn with focus at one of the foci of the ellipsewherea...
For ellipse, equation: 
Let focus be (ae, 0) and directrix be x + ae = 0


And, for parabola: y2 = 4aex
Length of latus rectum is 4ae.
According to the question,
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A parabola is drawn with focus at one of the foci of the ellipsewherea > b, and directrix passing through the other focus and perpendicular to the major axis of the ellipse. If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is:a)b)2√2 – 1c)√2 – 1d)none of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
A parabola is drawn with focus at one of the foci of the ellipsewherea > b, and directrix passing through the other focus and perpendicular to the major axis of the ellipse. If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is:a)b)2√2 – 1c)√2 – 1d)none of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A parabola is drawn with focus at one of the foci of the ellipsewherea > b, and directrix passing through the other focus and perpendicular to the major axis of the ellipse. If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is:a)b)2√2 – 1c)√2 – 1d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parabola is drawn with focus at one of the foci of the ellipsewherea > b, and directrix passing through the other focus and perpendicular to the major axis of the ellipse. If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is:a)b)2√2 – 1c)√2 – 1d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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