Q61.If α and β are roots of the equation, x2 −4√2kx + 2e4 ln k −1 = 0 for some k, and α2 + β2 = 66, then α3 + β3 is equal to: (1) 248√2 (2) 280√2 (3) −32√2 (4) −280√2 + arg
What This Question Tests
This question tests the ability to apply Vieta's formulas and algebraic identities, along with a basic property of logarithms, to find the sum of cubes of roots.
Concepts Tested
Formulas Used
α+β = -b/a
αβ = c/a
α²+β² = (α+β)²-2αβ
α³+β³ = (α+β)(α²-αβ+β²)
e^(ln x) = x
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📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of quadratic equations
- Year
- 2014
- Shift
- 11 Apr Online
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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