How do you derive the formula for the foci of an ellipse given the lengths of the major and minor axes?
Answer 1
Kaitlyn Espinoza
To derive the formula for the foci of an ellipse, start with the standard form of the ellipse equation: (x^2/a^2) + (y^2/b^2) = 1, where a is the semi-major axis and b is the semi-minor axis. The distance from the center to each focus (c) is given by the formula c = √(a^2 – b^2).
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