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The hyperbola's _____ is the point halfway between its two vertices.A.transverse axisB.focusC.center

Question

The hyperbola's _____ is the point halfway between its two vertices.

  • A. transverse axis
  • B. focus
  • C. center
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Solution

Answer to the Question

The correct answer is C. center.

Explanation

The center of a hyperbola is defined as the point that is exactly halfway between its two vertices. In the case of a hyperbola, it serves as the midpoint of the transverse axis, which joins the two vertices. While the transverse axis represents the line segment that runs through the vertices, the center specifically refers to that particular point (the midpoint) between them.

The focus and the transverse axis are significant characteristics of a hyperbola, but they do not define this specific midpoint location.

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