Answers to Odd Exercises on Ellipses Centered at the Origin   1.  For the ellipse               x2            y2                          +                  =  1              9              4 the x-axis the MAJOR axis and the y-axis is the MINOR axis. 3.  Ellipses are never graphs of functions. True, since they will never pass the vertical line test.   5.          x2            y2                          +                  =  1             25             9 7.          x2            y2                          +                  =  1             36            49 9.                    y2                x2  +                 =  1                         4 11.         x2            y2                         +                  =  1              5             16 13.                      y2                9x2  +                 =  1                          4 15.     25x2  +  y2  =  1                 17.     4x2  +  9y2  =  1 19.     3x2  +  10y2  =  1 21.     x2  +  4y2  =  16 23.     x2  +  25y2  =  25 25.     x2  +  4y2  =  9 27.     25x2  +  36y2  =  9 29.     9x2  +  12y2  =  12 31.     x2  +  10y2  =  5 33.                       x2             y2                          +                  =  1             9             16   35.               x2            y2                          +                =  1             16            4     37.                       y2             x2  +              =  1                      4 39.  Two of the vertices of an ellipse centered at the origin are (3,0) and (0,-4).  What are the other two vertices?         (-3,0) and (0,4) 41.  One of the vertices of an ellipse centered at the origin is (3,0).  If the ellipse passes through the point (1,8/3), find the equation of the ellipse.             x2             y2                          +                  =  1             4             100 43.  One of the vertices of an ellipse centered at the origin is (-3,0).  If the ellipse passes through the point (,2), find the equation of the ellipse.             x2             y2                          +                  =  1             9              36   Back to the Exercises Back to The Conic Page Back to the Math 154 Page Back to the Math Department Home Page