Let z(1),z(2) be two fixed complex nu...

Let `z_(1),z_(2)` be two fixed complex numbers in the Argand plane and z be an arbitrary point satisfying `|z-z_(1)| +|z-z_(2)|=2|z_(1)-z_(2)|`. Then the locus of z will be

A

an ellipse

B

a straight line joining `z_(1) and z_(2)`

C

a parabola

D

a bisector of the line segment joining `z_(1) and z_(2)`

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