A curve is traced by a point P(x,y) which moves such that its distance from the point A(-1,1) is three times the distance from the point B(2,-1). Find the equation of the curve and identity.

1 answer

distancePB=3distancePA
sqrt((x-2)^2+(y+1)^2)=3sqrt((x+1)^2 +(y-1)^2)

square both sides, expand the polynomial, collect terms, and you ahve the equation.