Q83.Let the eccentricity of the hyperbola 𝑥2 - 𝑦2 = 1 be 5 If the equation of the normal at the point 8 12 on the 𝑎2 𝑏2 4. √5, 5 hyperbola is 8√5𝑥+ 𝛽𝑦= 𝜆, then 𝜆- 𝛽 is equal to _____. 5𝑛+ 1
What This Question Tests
This question tests the ability to determine the equation of the normal to a hyperbola at a given point using its eccentricity, and then compare it with a provided normal equation to find the required parameters.
Concepts Tested
Formulas Used
x²/a² - y²/b² = 1
e² = 1 + b²/a²
a²x/x₁ + b²y/y₁ = a² + b²
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Equation of normal to a hyperbola
- Year
- 2022
- Shift
- 25 Jun Shift 2
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
More from this Chapter
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