Q74.If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of the ellipse is: (1) 1 (2) √2 −1 2 (3) √2−1 (4) 2√2−1 2 2
What This Question Tests
This is a direct application of the standard formulas for the distance between foci and the length of the latus rectum of an ellipse, along with the relationship between semi-major axis, semi-minor axis, and eccentricity, to solve for eccentricity.
Concepts Tested
Formulas Used
Distance between foci = 2ae
Length of latus rectum = 2b^2/a
b^2 = a^2(1-e^2)
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📋 Question Details
- Chapter
- Ellipses
- Topic
- Eccentricity of an ellipse
- Year
- 2015
- Shift
- 11 Apr Online
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (Ellipse)
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