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Question
Find the equation for the ellipse that satisfies the given conditions:
Ends of major axis (±3, 0), ends of minor axis (0, ±2)
Solution
Ends of major axis (±3, 0), ends of minor axis (0, ±2)
Here, the major axis is along the x-axis
Therefore, the equation of the ellipse will be of the form `x^2/a^2 + y^2/b^2 = 1` where a is the semi-major axis.
Accordingly, a = 3 and b = 2.
Thus, the equation of the ellipse is `x^2/3^2 + y^2/2^2 = 1` i.e. `x^2/9 + y^2/4 = 1`
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