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MHT CET20239 May 2023Morning ShiftMathematicsComplex NumberActual

If Z₁=4 i ⁴⁰-5 i ³⁵+6 i ¹⁷+2, Z ₂=-1+ i , where i = -1 , then | Z ₁+ Z ₂ |=

Options

  1. A5
  2. B13
  3. C12
  4. D15

Correct answer

B. 13

Step-by-step solution

aligned & Z ₁=4 i ⁴⁰-5 i ³⁵+6 i ¹⁷+2 & Z ₁=6+11 i & Z ₂=-1+ i Z ₁ & + Z ₂=6+11 i -1+ i & =5+12 i & | Z ₁+ Z ₂ |= (5)^2+(12)^2 = 169 =13 aligned

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