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Mathematics 8 Online
OpenStudy (eric_d):

Chap 5 (ellipse) Solved

OpenStudy (eric_d):

The sum of distance of a moving point P from the point (0,4) and its distance from the origin is 8 units. Find the equation of the locus of P and show that it's an ellipse.

ganeshie8 (ganeshie8):

Say P(x, y) is a point on the locus

ganeshie8 (ganeshie8):

distance btween P(x, y) and (0,4) = ? distance btween P(x, y) and (0,0) = ?

ganeshie8 (ganeshie8):

add them and set it equal to 8

ganeshie8 (ganeshie8):

square both sides 1-2 times and get rid of radicals

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