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If Z = 1 3 | array ccc i & 2 i & 1 2 i & 3 i & 2 3 & 1 & 3 array |=x+i y ; i= -1 then what is modulus of Z equal to?

Options

  1. A1
  2. B2
  3. C2
  4. D3

Correct answer

B. 2

Step-by-step solution

We have given, Z = 1 3 | array ccc i & 2 i & 1 2 i & 3 i & 2 3 & 1 & 3 array | aligned & Z= 1 3 [i(9 i-2)-2 i(6 i-6)+1(2 i-9 i)] & Z= 1 3 (3+3 i)=1+i & Modulus of z= 1^2+1^2 = 2 aligned

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