Read the following statements about hyperbolas carefully and…

Read the following statements about hyperbolas carefully and determine whether each statement is true or false. Enter T for true and F for false. The transverse axis of the hyperbola does not intersect the hyperbola [ans1] The midpoint of the two foci of a hyperbola is the center of the hyperbola [ans2] If the asymptotes of a hyperbola have the equations

Read the following statement carefully and determine for eac…

Read the following statement carefully and determine for each one of them, whether the statement is true or false for ellipses. The foci always lie on the minor axis [ans1] The sum of the distances from the foci to any point on the ellipse (the constant sum) is greater than the distance between the foci [ans2] The sum of the distances from the vertices to any point on the ellipse is constant [ans3] Let be the equation of an ellipse, then the length of the major axis is  [ans4] Let be the equation of an ellipse, and let the coordinates of the foci be