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JEE Main20249 Apr 2024Evening ShiftMathematicsComplex NumberActual

Let z be a complex number such that the real part of z-2 i z+2 i is zero. Then, the maximum value of |z-(6+8 i)| is equal to

Options

  1. A12
  2. B10
  3. C8

Correct answer

A. 12

Step-by-step solution

aligned & z -2 i z +2 i + z +2 i z -2 i =0 & z z -2 i z -2 i z +4(-1) & + z z +2 z i+2 z i +4(-1)=0 & 2| z |^2=8 | z |=2 & | z -(6+8 i )|_ maximum =10+2=12 aligned

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