Q57.If the distance between the foci of an ellipse is 6 and the distance between its directrix is 12, then the length of its latus rectum is (1) √3 (2) 3√2 (3) 3 (4) 2√3 √2
What This Question Tests
This question tests the understanding of fundamental properties of an ellipse, requiring the use of relationships between foci, directrices, eccentricity, and latus rectum.
Concepts Tested
Formulas Used
2ae = distance between foci
2a/e = distance between directrices
Length of latus rectum = 2b²/a
b² = a²(1-e²)
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📋 Question Details
- Chapter
- Ellipse
- Topic
- Properties of ellipse
- Year
- 2020
- Shift
- 07 Jan Shift 1
- Q Number
- Q57
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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