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KVPY2013MathematicsComplex Number

Let be a cube root of unity not equal to 1 . Then the maximum possible value of |a+b w+c w² | where a , b, c +1,-1 is

Options

  1. A0
  2. B2
  3. C3
  4. D1+ 3

Correct answer

B. 2

Step-by-step solution

|a+b w+c w² | |a-c+(b-c) w| , for maximum value taking a=1, c=-1, b=1 |a+b w+c w² |=|2+2 w|=2 |w² |=2

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