Curves traced by a point? how do i solve this? ?

Question

A curve is traced by a point P (x,y) which moves such that its dstance from the point A (-1,1) is three times its distance from the point B (2,-1)

Determined the equation of the curve.

Answer:

8x^2 - 38x + 8y^2 + 20y +43 = 0

Answer 1

Do you know distance formula? See what it is about!!!

AP = 3PB and so

AP^2 = 9BP^2

Now use that distance formula and simplify carefully!!!