Q65.Let the eccentricity of an ellipse x2 + = 1, a > b, be 14 . If this ellipse passes through the point a2 b2 5 , , then a2 + b2 is equal to (−4√2 3) (1) 29 (2) 31 (3) 32 (4) 34 a is equal to
What This Question Tests
This question combines the definition of eccentricity for an ellipse with the condition that a given point lies on the ellipse, requiring solution of simultaneous equations to find a² and b².
Concepts Tested
Formulas Used
e = sqrt(1 - b²/a²)
x²/a² + y²/b² = 1
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📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Ellipse
- Year
- 2022
- Shift
- 27 Jun Shift 1
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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