A hyperbola is a set of points in a plane the difference of whose distances from a fixed point, called the center is constant.Group of answer choicesTrueFalse

Analyzing the Statement

1. Understanding Hyperbola: A hyperbola is defined in terms of distances from its foci, not the center. The correct definition states that for any point on a hyperbola, the absolute difference between the distances to two fixed points (the foci) is constant.

2. Evaluating the Given Statement: The statement claims that a hyperbola is defined by the difference of distances from the center, not from the foci.

Conclusion

The statement is incorrect because it does not reflect the proper definition of a hyperbola.

Final Answer

False. A hyperbola is defined by the difference of distances from its foci, not the center.