Problema Solution

what is the graph of (x^2)/(a^2) + (y^2)/(a^2 - c^2) = 1?

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what is the graph of (x^2)/(a^2) + (y^2)/(a^2 - c^2) = 1?

Solution:

(x^2)/(a^2) + (y^2)/(a^2 - c^2) = 1

Let b^2 = a^2 - c^2

That is

(x^2)/(a^2) + (y^2)/(b^2) = 1

So the graph is a ellipse.