By a suitable change of origin, show that the equation 9(x − 5)2 + 16(y + 3)2 = 144 represent an ellipse and that the coordinates of the centre are (5, −3). Find the position vectors of the foci and the ends of the major and minor axes.
The equation of ellipse
The center
Foci:
Ends of the major axis:
Ends of the minor axis:
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