Q63.The least positive integer n for which ( 1−i√31+i√3 ) (1) 2 (2) 5 (3) 6 (4) 3
What This Question Tests
The question requires converting a complex number to its polar or Euler's form, then applying De Moivre's theorem to find the least positive integer power for which the result is 1.
Concepts Tested
Formulas Used
z = r(cosθ + i sinθ)
e^(iθ) = cosθ + i sinθ
(e^(iθ))^n = e^(inθ)
📚 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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Physics Class 12 · Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- De Moivre's Theorem
- Year
- 2018
- Shift
- 16 Apr Online
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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