Problem : Is the major axis of the following ellipse horizontal or vertical: + = 1?a > b, and 6 > 4. Therefore, a2 is the denominator of the x2 term, so the axis is horizontal.
Problem : Find a, b, and c of the ellipse + = 1.a = 5, b = 4, and c = = 3.
Problem : Find a, b, and c of the ellipse 9x2 +3y2 - 36x - 6y + 12 = 0.By completing the square and factoring, you arrive at the standard equation for an ellipse. a = 3, b = , and c = .
Problem : Find the vertices of the ellipse 2x2 +3y2 - 6 = 0.a = , the major axis is horizontal, and the center of the ellipse is (0, 0). The vertices are at (, 0) and (- , 0).
Problem : What is the eccentricity of the ellipse 81x2 + y2 - 324x - 6y + 252 = 0?After completing the square and converting the equation to standard form, you find a = 9, b = 1, and c = . Therefore, e = = .
Problem : What is the center and radius of the circle x2 + y2 - 8x - 16y + 60 = 0?Center: (4, 8); Radius = = 2.