Geometric representation of a complex number - class-XII

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Multiple Choice

If $z _{1}=8 +4i,\ z _{2}=6+4i$ and $arg \left(\dfrac {z-z _{1}}{z-z _{2}}\right)=\dfrac {\pi}{4}$, then $z$ satisfy 

  1. $|z-7-4i|=1$
  2. $|z-7-5i|=\sqrt {2}$
  3. $|z-4i|=8$
  4. $|z-7i|=\sqrt {18}$
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