The x axis is major axis with length of major axis = 8 and y axis is minor axis with length of minor axis = 12
How to interpret the equation of an Ellipse?
We are given the equation of the major axis of an ellipse as;
(x - 5)²/16 + (y - 2)²/36
Now, the general form of equation of an ellipse is expressed as;
x²/a² + y²/b²
where;
2a = length of major axis
2b = length of minor axis
Now, our equation can be rewritten as;
(x - 5)²/4² + (y - 2)²/6²
Comparing to our general ellipse equation, we can say that;
a = 4 and b = 6
2a = 2 * 4 = 8
2b = 2 * 6 = 12
Thus, x axis is major axis with length of major axis = 8 and y axis is minor axis with length of minor axis = 12
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