A geometry problem by rounak chatterjee

Geometry Level pending

let z1 and z2 are two fixed complex numbers in the argand plane and z be an arbitary point satisfying |z - z1| + |z - z2| = 2 |z1 - z2|.Then the locus of z will be:--

  1. an ellipse
  2. a straight line joining z1 and z2
  3. a parabola

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