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What is the sum of L1 and L2 for every horizontal ellipse?

2 Answers

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Answer: 2a

Explanation:

The sum of the two lengths , L1 and L2 is constant and is equal to two times the major axis' length


User Vin Gazoil
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An ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. An ellipse usually looks like a squashed circle. From the figure below F is a focus, G is a focus. Together they are called foci. So the sum of L1 and L2 is always the same value, that is, if we go from point F to any point on the ellipse and then go on to point G, we always travel the same distance. This happens for every horizontal ellipse as indicated in the Figure below. In mathematical language:


L_(1)+L_(2)=constant

What is the sum of L1 and L2 for every horizontal ellipse?-example-1
User Jamian
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