Question

The foci of a hyperbola are at (-6, 3) and (4, 3). The transverse axis is parallel to the (x or y) -axis, and the coordinates of the center of the hyperbola are ? .

Answer 1

The coordinates of the center of the hyperbola are (-1, 3).

Step-by-step explanation:

To find the center of a hyperbola, we need to find the midpoint of the segment joining the foci. The x-coordinate of the midpoint is the average of the x-coordinates of the foci, and the y-coordinate of the midpoint is the average of the y-coordinates of the foci.

In this case, the x-coordinate of the midpoint is (-6 + 4) / 2 = -1, and the y-coordinate of the midpoint is (3 + 3) / 2 = 3.

So, the coordinates of the center of the hyperbola are (-1, 3).