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The eccentricity of an ellipse whose latus rectum is equal to distance between foci is:
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The eccentricity of an ellipse whose latus rectum is equal to distance...
Distance between the foci of an ellipse = length of latus rectum
i.e. (2b2)/a=2ae
e=b2/a2
But e=[1−b2/a2]1/2
Then e=(1−e)1/2
Squaring both sides, we get
e2 +e−1=0
e=−1 ± (1 + 4)1/2]/2
(∵ Eccentricity cannot be negative)
e=[(5)1/2 − 1]/2
i.e. (2b2)/a=2ae
e=b2/a2
But e=[1−b2/a2]1/2
Then e=(1−e)1/2
Squaring both sides, we get
e2 +e−1=0
e=−1 ± (1 + 4)1/2]/2
(∵ Eccentricity cannot be negative)
e=[(5)1/2 − 1]/2
Most Upvoted Answer
The eccentricity of an ellipse whose latus rectum is equal to distance...
Community Answer
The eccentricity of an ellipse whose latus rectum is equal to distance...
Because latus rectum of hyperbola is a line segment perpendicular to the transverse axis through any of the foci and whose end points lie on the hyperbola
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The eccentricity of an ellipse whose latus rectum is equal to distance between foci is:a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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The eccentricity of an ellipse whose latus rectum is equal to distance between foci is:a)b)c)d)Correct answer is option 'A'. 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 The eccentricity of an ellipse whose latus rectum is equal to distance between foci is:a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The eccentricity of an ellipse whose latus rectum is equal to distance between foci is:a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
The eccentricity of an ellipse whose latus rectum is equal to distance between foci is:a)b)c)d)Correct answer is option 'A'. 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 The eccentricity of an ellipse whose latus rectum is equal to distance between foci is:a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The eccentricity of an ellipse whose latus rectum is equal to distance between foci is:a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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