Q65.Let the eccentricity of the hyperbola H : x2 −y2 and length of its latus rectum be 6√2 . If = 1 be √52 a2 b2 y = 2x + c is a tangent to the hyperbola H , then the value of c2 is equal to (1) 18 (2) 20 (3) 24 (4) 32
What This Question Tests
The question tests the application of formulas for eccentricity and latus rectum of a hyperbola, along with the tangency condition for a line to a hyperbola.
Concepts Tested
Formulas Used
e = sqrt(1 + b^2/a^2)
Latus rectum = 2b^2/a
Condition for tangency: c^2 = a^2m^2 - b^2
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Eccentricity and Tangents of a Hyperbola
- Year
- 2022
- Shift
- 28 Jun Shift 1
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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