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NDA2022MathematicsComplex NumberActual

What is the modulus of ( -3 2 - 1 2 )²⁰⁰ ?

Options

  1. A1 4
  2. B1 2
  3. C1
  4. D2²⁰⁰

Correct answer

C. 1

Step-by-step solution

aligned & | ( -3 2 - 1 2 )²⁰⁰ |= | (- 1 2 + 3 2 i )²⁰⁰ | & = |- 1 2 + 3 2 i |²⁰⁰ [ | Z ^n |= Z ^n ] & = | 1 4 + 3 4 |²⁰⁰=1 aligned

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