Conics

Ellipse

2020 June(C02) Math Question 47

2012 December(71A) Math Question 49

51. Shown below in the standard (x,y) coordinate plane are 2 circles and 1 ellipse, each centered at (0,0). The larger circle has equation x2 + y2 = 25 and intersects the ellipse at exactly 2 points, both on the x-axis. The smaller circle has equation x2 + y2 = 4 and intersects the ellipse at exactly 2 points, both on the y-axis. Which of the following equations represents the ellipse?

2018 June(A11) Math Question 51

51. The ellipse shown in the standard (x,y) coordinate plane below has equation 93)2 + `-Y 255,2 = 1. Which of the

2018 April(A09) Math Question 51

53. Graphed in the standard (x,y) coordinate plane below is an ellipse. The center of the ellipse is (0,0), and points (-5,0), (Q,3), (5,0), (0,-3), A(3,a), and B(3 ,b) lie on the ellipse. What is the distance, in coordinate units, from A to B ?

2016 April(73E) Math Question 53

55. One of the following equations represents the ellipse shown below in the standard (x,y) coordinate plane. Which one?

2021 June(D06) Math Question 55

2019 April(B04) Math Question 56

58. One of the following equations determines the graph in the standard (x,y) coordinate plane below. Which one?

2014 December(72G) Math Question 58

59. The ellipse in the standard (x,y) coordinate plane below is the graph of ((x-5)2)/25 + (y-3)2)/9 = 1. Which of the following points are the foci of the ellipse?

2021 April(D05) Math Question 59

59. In the standard (x,y) coordinate plane below, the endpoints of the major and minor axes of the ellipse are labeled. Which of the following equations determines the ellipse?

2020 December(D03) Math Question 59

60. A right circular cone is intersected by a plane that is not parallel to the base and does not intersect the base or vertex, ps shown in the figure below. One of the following figures shows the shape of the intersection. Which figure is it?

EllipseConicsACT math questions

2020 June(C02) Math Question 47

2012 December(71A) Math Question 49