Question
the sum of the distances of p(x) from (0 -3) and (0 3) is equal to 10.
Answers
bobpursley
http://www.purplemath.com/modules/ellipse.htm
if the distances from the two foci are constant, then it is an ellipse, center at 0,0, Consider the point on the x axis x=5, the sum of distances to the foci is 10, so a=5, c=3, and b=sqrt(a^2-c^2)=4, so now you have all the parameters for the standard equation.
if the distances from the two foci are constant, then it is an ellipse, center at 0,0, Consider the point on the x axis x=5, the sum of distances to the foci is 10, so a=5, c=3, and b=sqrt(a^2-c^2)=4, so now you have all the parameters for the standard equation.