14. Find the equation for the ellipse that satisfies the given conditions:
Ends of major axis (0, ± ), ends of minor axis (± 1, 0)
Given, In an ellipse,
Ends of the major axis (0, ± ), ends of minor axis (± 1, 0)
Here, the major axis of this ellipse will be Y-axis.
Therefore, the equation of the ellipse will be of the form:
Where and are the length of the semimajor axis and semiminor axis respectively.
So on comparing standard parameters( ends of the major and minor axis ) with the given one, we get
Hence, The Equation of the ellipse will be :
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