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The general equation of an ellipse algebraically represents an ellipse in the coordinate plane. The standard form of the equation of the ellipse is:

Example:

What are the values of 'a' and 'b' in the equation of ellipse 16x^2 + 25y^2 = 1600.

Solution:

We must express the given equation in standard form to obtain the values of 'a' and 'b.'

So, divide the given equation of an ellipse 16x2 + 25y2 = 1600 by 1600.