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AP EAMCET2007MathematicsComplex Number

A value of n such that ( 3 2 + i 2 )^n=1 is

Options

  1. A12
  2. B3
  3. C2
  4. D1

Correct answer

A. 12

Step-by-step solution

Given, aligned & ( 3 2 + i 2 )^n=1 & ( cis 6 )^n=1 aligned Only n=12 satisfies this equation.

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