Question

prove that 3x = 2y.
If P(x, y) is a point equidistant from the points A6,-1) and B(2, 3),
show that x - y = 3.​

Answer 1

Step-by-step explanation:

Let the point P(x,y) be equidistant from the points A(5,1) and B(-1,5). then,

PA=PB

PA2=PB2

(x−5)2+(y−1)2=(x+1)2+(y−5)2

x2+y2−10x−2y+26=x2+y2+2x−10y+26

12x−8y=0

12x=8y

3x=2y