Q70.Let H be the hyperbola, whose foci are (1 ± √2, 0) and eccentricity is √2 . Then the length of its latus rectum is: (1) 3 (2) 52 (3) 2 (4) 32
What This Question Tests
This question is a direct application of the standard formulas for the foci, eccentricity, and latus rectum of a hyperbola, requiring straightforward calculation from given parameters.
Concepts Tested
Formulas Used
Foci = (±ae, 0)
b^2 = a^2(e^2 - 1)
Length of latus rectum = 2b^2/a
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Properties of hyperbola
- Year
- 2023
- Shift
- 31 Jan Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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