Q83.If the difference between the roots of the equation x2 + ax + 1 = 0 is less than √5, then the set of possible values of a is JEE Main 2007 JEE Main Previous Year Paper (1) (−3, 3) (2) (−3, ∞) (3) (3, ∞) (4) (−∞, −3)
What This Question Tests
This question requires analyzing the difference between roots for both real and complex cases of a quadratic equation and solving the resulting inequality for the coefficient 'a'.
Concepts Tested
Formulas Used
|α - β| = √((α + β)² - 4αβ) (for real roots)
|α - β| = √(4-a²) (for complex roots)
Discriminant D = b² - 4ac
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📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Nature of Roots
- Year
- 2007
- Shift
- Unknown
- Q Number
- Q83
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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