$z_1$ and $z_2$ are two fixed points on the Argand plane. If $z$ is a complex number such that $|z-z_1| + |z-z_2| = \lambda$,then the locus of $z$ is

  • A
    a circle when $|z_1-z_2| < \lambda$
  • B
    a parabola when $|z_1+z_2| = \lambda$
  • C
    an ellipse when $|z_1-z_2| < \lambda$
  • D
    a straight line when $|z_1| = |z_2| = \lambda$

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