Is the set of all points in the plane the difference of whose distances from two fixed points?

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The definition of the hyperbola with two blanks.

We will be using the definition of hyperbola to get the answer.

As we know,A hyperbola is the set of all points in the plane, the difference of whose distances from two fixed points is a constant. These two fixed points are the foci of the hyperbola.So the first blank will be filled with difference and the other one is foci.

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Is the set of all points in the plane the difference of whose distances from two fixed points?

Dear student, A hyperbola is "the set of all points in a plane such that the difference of the distances from two fixed points (foci) is constant". The difference of the distances to any point on the hyperbola (x,y) from the two foci (c,0) and (-c,0) is a constant. That constant will be 2a. Regards.