Determine whether the conjecture is true or false. give a counterexample for any false conjecture. given: points a, b, c, and d conjecture: a, b, c, and d are coplanar. select one: a. false; the four points do not have to be in a straight line. b. true c. false; two points are always coplanar but four are not. d. false; three points are always coplanar but four are not.

the first option is the answer.

step-by-step explanation:

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.