Q61.If the sum of the squares of the reciprocals of the roots α and β of the equation 3x2 + λx −1 = 0 is 15 , then 6(α3 + β3)2 is equal to (1) 46 (2) 36 (3) 24 (4) 18
What This Question Tests
This question requires using Vieta's formulas for the sum and product of roots of a quadratic equation and performing algebraic manipulations to find the value of a given expression.
Concepts Tested
Formulas Used
α + β = -b/a
αβ = c/a
α^2 + β^2 = (α+β)^2 - 2αβ
α^3 + β^3 = (α+β)(α^2 - αβ + β^2)
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📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of quadratic equations
- Year
- 2022
- Shift
- 24 Jun Shift 1
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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