17. Find the equation for the ellipse that satisfies the given conditions:
Foci (± 3, 0), a = 4
Given, In an ellipse,
V Foci (± 3, 0), a = 4
Here foci of the ellipse are in X-axis so the major axis of this ellipse will be X-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( vertices and foci) with the given one, we get
Now, As we know the relation,
Hence, The Equation of the ellipse will be :
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