Question
Find the equation of the locus of a point which moves so that the sum of its distances from the points (2,1) and (8,1) is 10
help me answer pls:)
help me answer pls:)
Answers
oobleck
The two points are the foci of the ellipse with
center at (5,1)
and semi-major axis = 5
so we have
a = 5
c = 3
since b^2 = a^2-c^2,
b = 4
so the ellipse is
(x-5)^2/5^2 + (y-1)^2/4^2 = 1
center at (5,1)
and semi-major axis = 5
so we have
a = 5
c = 3
since b^2 = a^2-c^2,
b = 4
so the ellipse is
(x-5)^2/5^2 + (y-1)^2/4^2 = 1