Which type of conic section (circle, ellipse, parabola, or hyperbola) is formed by the nodal-line pattern produced

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Which type of conic section (circle, ellipse, parabola, or hyperbola) is formed by the nodal-line pattern produced by two coherent sources of two-dimensional waves?

(For a given nodal line, the difference in distance between any point on it and the two sources is the same for all points.)

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