Q73.A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x −axis. Then the eccentricity of the hyperbola is: (1) √3 (2) 32 (3) 2 (4) 2 √3
What This Question Tests
This problem tests the direct application of hyperbola properties to find its eccentricity, given its center, a point it passes through, and the length and orientation of its transverse axis.
Concepts Tested
Formulas Used
x²/a² - y²/b² = 1
2a = length of transverse axis
b² = a²(e² - 1)
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Equation of hyperbola, Eccentricity
- Year
- 2019
- Shift
- 09 Jan Shift 2
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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