Find the equation of the locus of the set of points P such that PF + PF' = 8 where F is (6,0) and F' is (-2,0)

Question

apoorvk · Answer

Realise that this is the basic definition of the locus of an ellipse?

anonymous · Answer

the locus is actually a line segment :c

apoorvk · Answer

Unhmm.. it IS an ellipse.

anonymous · Answer

umm realise that the focal length = sum of distances .: it has to be a line

apoorvk · Answer

Umm, not necessarily. Check out this link: http://demonstrations.wolfram.com/LocusOfPointsDefinitionOfAnEllipseHyperbolaParabolaAndOvalOf/

anonymous · Answer

unless if u count as the line segment as an ellipse.. the locus of points cannot extend beyond the line segments as the sum of the distances from the focal points will exceed the definition as the sum of any two sides of a triangle must be greater than the length of the remaining side..

amistre64 · Answer

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