A point p moves so that the sum of its distances from the point (ae, 0) ,(-ae, 0) is 2a the locus of the point p is (0‹e‹1)
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the locus of the point is an ellipse with length of major axis a and eccentricity e
it is the fundamental definition of an ellipse given in the NCERT textbook of class 11
for further explanation you may refer NCERT maths textbook
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