What is the measure of the angle of intersection when ab is the
perpendicular bisector of xy?
оа. 60°
ов. 45°
ос. 30°
op. 90°

Option 90°

Step-by-step explanation:

AB is the perpendicular bisector of XY

The result of intersection will give 4 right angles

So,the measure of the angle of intersection when AB is the perpendicular bisector of XY = 90°

See the attached figure.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.