Question

Find the locus of moving point such that its distance from the two point (4,8) and (-6,2) is always same.​

Answer 1

Step-by-step explanation:

let the point be (x,y)

A(4,8);B(-6,2)

given PA=PB

PA*2=PB*2

(x-4)*2+(y-8)*2=(x+6)*2+(y-2)*2

x*2+16-8x+y*2+64-16y=x*2+36+12x+y*2+4-4y

-8x-12x-16y+4y+80-40=0

20x+12y-40=0

5x+3y-10=0