Q57.A hyperbola having the transverse axis of length, √2 has the same foci as that of the ellipse, 3x2 + 4y2 = 12 then this hyperbola does not pass through which of the following points? 2 , (1) ( √21 , 0) (2) (−√3 1) (3) (1, −1√2 ) (4) (√3 2 , √21 )
What This Question Tests
This question requires finding the foci of a given ellipse, using them to determine the equation of a hyperbola with a specified transverse axis length, and then identifying which point does not lie on that hyperbola.
Concepts Tested
Formulas Used
x²/a² + y²/b² = 1 (Ellipse, c² = a² - b²)
x²/A² - y²/B² = 1 (Hyperbola, C² = A² + B²)
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Foci of ellipse and hyperbola
- Year
- 2020
- Shift
- 03 Sep Shift 1
- Q Number
- Q57
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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