Q69.Let the length of the latus rectum of an ellipse with its major axis along x -axis and centre at the origin, be 8 . If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it? (1) (4√2, 2√2) (2) (4√3, 2√2) (3) (4√3, 2√3) (4) (4√2, 2√3)
What This Question Tests
This question involves using the given properties of an ellipse (latus rectum length and relation between foci distance and minor axis) to determine its equation, and then checking which point lies on it.
Concepts Tested
Formulas Used
Latus Rectum = 2b²/a
Distance between foci = 2ae
b² = a²(1-e²)
x²/a² + y²/b² = 1
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📋 Question Details
- Chapter
- Ellipse
- Topic
- Properties and equation of an ellipse
- Year
- 2019
- Shift
- 11 Jan Shift 2
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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