Q61.Let α be a root of the equation 1 + x2 + x4 = 0. Then the value of α1011 + α2022 −α3033 is equal to: (1) 1 (2) α (3) 1 + α (4) 1 + 2α
What This Question Tests
This question tests the understanding of special complex roots derived from equations like 1+x^2+x^4=0, which simplifies to x^6=1 with x^2 not equal to 1, and using cyclic properties of these roots for simplification.
Concepts Tested
Formulas Used
x^2 - x + 1 = 0 (relation to roots of x^6 = -1)
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Roots of complex equations
- Year
- 2022
- Shift
- 29 Jun Shift 2
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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