Q71.If the length of the latus rectum of an ellipse is 4 units and the distance between a focus and its nearest vertex on the major axis is 3 units, then its eccentricity is 2 (1) 2 (2) 1 3 2 (3) 1 (4) 1 9 3
What This Question Tests
This question tests the understanding of fundamental properties of an ellipse, specifically relating the length of the latus rectum and the distance from a focus to a vertex to its eccentricity.
Concepts Tested
Formulas Used
Length of latus rectum = 2b^2/a
Distance between focus and nearest vertex = a - ae
b^2 = a^2(1 - e^2)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Ellipses
- Topic
- Properties of ellipse
- Year
- 2018
- Shift
- 16 Apr Online
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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