Q52.If a and b are real numbers such that (2 + α)4 = a + bα, where α = −1+i√32 , then (1) 9 (2) 24 (3) 33 (4) 57
What This Question Tests
This question tests the knowledge of cube roots of unity properties (ω and ω²) to simplify a complex number expression raised to a power and determine the real coefficients a and b.
Concepts Tested
Formulas Used
ω = (-1 + i√3)/2
ω³ = 1
(1+ω+ω²) = 0
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Powers of complex numbers (roots of unity)
- Year
- 2020
- Shift
- 04 Sep Shift 2
- Q Number
- Q52
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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