Determine whether the transverse axis and foci of the hyperb

Determine whether the transverse axis and foci of the hyperbola are on the x-axis or the y-axis.

x^2 / 12 - y^2 / 15 = 1

A. The transverse axis and foci of the hyperbola are on the x-axis.

B. The transverse axis and foci of the hyperbola are on the y-axis.

Solution

x^2 / 12 - y^2 / 15 = 1

The line segment containing both foci of a hyperbola whose endpoints are both on the hyperbola is called the transverse axis

since in our case form given is x^2/a^2 -y^2/b^2 =1

So, horizontal axis is the transverse axis i.e. x axis

So,The transverse axis and foci of the hyperbola are on the x-axis

Option A