Q81.If α satisfies the equation x2 + x + 1 = 0 and (1 + α)7 = A + Bα + Cα2, A, B, C ≥0 , then 5(3 A −2 B −C) is equal to
What This Question Tests
The question involves recognizing that 'α' is a cube root of unity and then using its properties to simplify the given expression and solve for the coefficients A, B, C.
Concepts Tested
Formulas Used
x² + x + 1 = 0 implies x = ω or ω²
1 + ω + ω² = 0
ω³ = 1
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Properties of Cube Roots of Unity
- Year
- 2024
- Shift
- 27 Jan Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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