If the sum of the distances between a moving point m and two fixed points F1 and F2 in the plane is a constant 2a, then the locus of point m is () a ellipse B circle C no locus D ellipse or line segment or no trace

If the sum of the distances between a moving point m and two fixed points F1 and F2 in the plane is a constant 2a, then the locus of point m is () a ellipse B circle C no locus D ellipse or line segment or no trace

Choose D
When 2A > F1F2, the trajectory is an ellipse with F1 and F2 as the focus;
When 2A = F1F2, the trajectory is line segment F1F2;
When 2A < F1F2, there is no trajectory