Q70.A hyperbola passes through the point 𝑃√2, √3 and has foci at ± 2, 0. Then the tangent to this hyperbola at 𝑃 also passes through the point (1) 3√2, 2√3 (2) 2√2, 3√3 (3) √3, √2 (4) -√2, - √3 JEE Main 2017 (02 Apr) JEE Main Previous Year Paper cot𝑥- cos𝑥
What This Question Tests
The question requires first determining the equation of the hyperbola using the given point and foci, and then finding the equation of the tangent at that point.
Concepts Tested
Formulas Used
Foci (±c, 0)
c² = a² + b²
x²/a² - y²/b² = 1
Equation of tangent at (x1, y1): xx1/a² - yy1/b² = 1
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Equation of hyperbola and tangent
- Year
- 2017
- Shift
- 02 Apr
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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