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An ellipse is such that the length of the latus rectum is equal to the sum of the lengths of its semi principal axes. Then
- a)Ellipse becomes a circle
- b)Ellipse becomes a line segment between the two foci
- c)Ellipse becomes a parabola
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An ellipse is such that the length of the latus rectum is equal to the...
Sum of the lengths of its semi−principal axis is : a+b
Given, 2b2/a=a+b
Or,2b2=a2+ab
Or,2b2−ab−a2 =0
Or,2b2−2ab+ab−a2=0
Or,2b(b−a)+a(b−a)=0
Or,(2b+a)(b−a)=0
Since,both are positive quantity, b=a
∴ It’s a circle.
Given, 2b2/a=a+b
Or,2b2=a2+ab
Or,2b2−ab−a2 =0
Or,2b2−2ab+ab−a2=0
Or,2b(b−a)+a(b−a)=0
Or,(2b+a)(b−a)=0
Since,both are positive quantity, b=a
∴ It’s a circle.
Most Upvoted Answer
An ellipse is such that the length of the latus rectum is equal to the...
Sum of the lengths of its semi−principal axis is : a+b
Given, 2b2/a=a+b
Or,2b2=a2+ab
Or,2b2−ab−a2 =0
Or,2b2−2ab+ab−a2=0
Or,2b(b−a)+a(b−a)=0
Or,(2b+a)(b−a)=0
Since,both are positive quantity, b=a
∴ It’s a circle.
Given, 2b2/a=a+b
Or,2b2=a2+ab
Or,2b2−ab−a2 =0
Or,2b2−2ab+ab−a2=0
Or,2b(b−a)+a(b−a)=0
Or,(2b+a)(b−a)=0
Since,both are positive quantity, b=a
∴ It’s a circle.
Community Answer
An ellipse is such that the length of the latus rectum is equal to the...
Ellipse become circle
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An ellipse is such that the length of the latus rectum is equal to the sum of the lengths of its semi principal axes. Thena)Ellipse becomes a circleb)Ellipse becomes a line segment between the two focic)Ellipse becomes a parabolad)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An ellipse is such that the length of the latus rectum is equal to the sum of the lengths of its semi principal axes. Thena)Ellipse becomes a circleb)Ellipse becomes a line segment between the two focic)Ellipse becomes a parabolad)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ellipse is such that the length of the latus rectum is equal to the sum of the lengths of its semi principal axes. Thena)Ellipse becomes a circleb)Ellipse becomes a line segment between the two focic)Ellipse becomes a parabolad)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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