Q62.If ω(≠1) is a cube root of unity, and (1 + ω)7 = A + Bω. Then (A, B) equals (1) (1, 1) (2) (1, 0) (3) (−1, 1) (4) (0, 1)
What This Question Tests
This question tests the direct application of the fundamental properties of cube roots of unity to simplify a given expression and equate coefficients.
Concepts Tested
Formulas Used
1 + ω + ω² = 0
ω³ = 1
📚 NCERT Sections This Tests
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1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
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5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4– (ii) [FeF6] 3– (iii) [Co(C2O4)3]3– (iv) [CoF6] 3–
📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Cube roots of unity
- Year
- 2011
- Shift
- Unknown
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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