Q52.The value of 30 ( −1+i√31−i ) is : (1) 65 (2) 215 i (3) −215 (4) −215 i
What This Question Tests
This question evaluates the ability to simplify a complex number expression raised to a power by first converting the complex numbers to their polar form and then applying De Moivre's theorem.
Concepts Tested
Formulas Used
z = r(cosθ + i sinθ)
(z1/z2)^n = (r1/r2)^n (cos(n(θ1-θ2)) + i sin(n(θ1-θ2)))
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Powers of complex numbers
- Year
- 2020
- Shift
- 05 Sep Shift 2
- Q Number
- Q52
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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