Q14.Let the foci of a hyperbola be (1, 14) and (1, โ12). If it passes through the point (1, 6), then the length of its latus-rectum is : (1) 24 (2) 25 5 6 (3) 144 (4) 288 5 5 is equal to :
What This Question Tests
The question tests the application of the definition of a hyperbola, its foci, and the calculation of its latus rectum length from given points.
Concepts Tested
Formulas Used
2ae = distance between foci
|PF1 - PF2| = 2a
b^2 = a^2(e^2 - 1)
Length of latus rectum = 2b^2/a
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๐ Question Details
- Chapter
- Hyperbola
- Topic
- Properties of hyperbola
- Year
- 2025
- Shift
- 22 Jan Shift 1
- Q Number
- Q14
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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