P(x,y) moves such that its distance from point Q(4,8)is twiceits distance from point P(-2,3). Find the equation of the locus of moving point P.

1 answer

?((x-4)^2+(y-8)^2) = 2?((x+2)^2+(y-3)^2)

square both sides and collect terms. It will be a circle.

http://www.wolframalpha.com/input/?i=circle+((x-4)%5E2%2B(y-8)%5E2)+%3D+4((x%2B2)%5E2%2B(y-3)%5E2)