Q71.If the line y = mx + 7√3 is normal to the hyperbola x224 −y218 = 1 (1) √5 (2) 3 2 √5 (3) √15 (4) 2 2 √5
What This Question Tests
This question applies the standard condition for a line to be normal to a hyperbola. By comparing the given line and hyperbola equations to their standard forms, the value of 'm' can be determined by substituting into the normal condition formula.
Concepts Tested
Formulas Used
Equation of hyperbola x²/a² - y²/b² = 1
Condition for y=mx+c to be normal to hyperbola is c² = (a²+b²)²m² / (a²-b²m²)
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Normal to a hyperbola
- Year
- 2019
- Shift
- 09 Apr Shift 1
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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