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KCET2010MathematicsComplex Number

If x+i y=(-1+i 3 )²⁰¹⁰ , then x is

Options

  1. A-2²⁰¹⁰
  2. B2²⁰¹⁰
  3. C1
  4. D-1

Correct answer

B. 2²⁰¹⁰

Step-by-step solution

x+i y=(-1+i 3 )²⁰¹⁰ x+i y=(2)²⁰¹⁰ ( -1+i 3 2 )²⁰¹⁰ (x+i y)=(2)²⁰¹⁰ ²⁰¹⁰ ( = -1+i 3 2 ) (x+i y)=(2)²⁰¹⁰ ( ³ )⁶⁷⁰ ( ³=1 ) (x+i y)=(2)²⁰¹⁰(1)⁶⁷⁰=2²⁰¹⁰+i 0 On comparing real part x=2010

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