Q81.Let α, β ∈ be roots of equation x2 −70x + λ = 0, where λ2 , λ3 ∉ . If λ assumes the minimum possible value, (√α−1+√β−1)(λ+35) then is equal to : |α−β|
What This Question Tests
This question requires finding the roots of a quadratic equation, understanding the condition for integer roots, minimizing a parameter, and then evaluating a complex expression involving the roots and the parameter.
Concepts Tested
Formulas Used
x = (-b ± √D) / 2a
D = b² - 4ac
α + β = -b/a
αβ = c/a
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of quadratic equation and conditions for real roots
- Year
- 2024
- Shift
- 30 Jan Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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