Question

A is at(−5,5)and B is at (3,7)P is a point on y-axis which is equidistant from A and B. What are the coordinates of P

Answer 1

Answer:

Given ap =bp

then

let p' s coordinats are x and y

✓(x+5)^2+(y-5)^2 = ✓(x-3)^2+(y-7)^2

after taking both side square

x^2+25+10x+y^2+25-10y=x^2+9-6x+y^2+49-14y

16x+4y=8

then

given p is situated at y axis

x=0

y=2

then the coordinate of point p =(0,2)