elizabethmiramo elizabethmiramo
  • 18-07-2017
  • Mathematics
contestada

A point on an ellipse is 11 units from one focus and 7 units from the other. What is the length of the major axis?

A point on an ellipse is 11 units from one focus and 7 units from the other What is the length of the major axis class=

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merlynthewhizz
merlynthewhizz merlynthewhizz
  • 24-07-2017
A diagram of an ellipse is shown below

VW is the major axis
ST is the minor axis
P is a point on the ellipse
A and B are the foci (or focus)

The length of major axis is given by either VA+AW or AP+BP
One useful fact to know that AP+BP is constant wherever the point P is on the ellipse

We know that the distance of the point 'P' from one focus is 11 units and from the other focus is 7 units, so we know the length of AP and BP.

Hence, the length of major axis is 11+7=18 units
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