Question

Find the equation of the set of points which are equidistant from the points
(1, 2, 3) and (3, 2, --1).
f the set of noints P the sum of whose distances from​

Answer 1

Answer:

0

Step-by-step explanation:

Let P(x,y,z) be the point that is equidistant from points A(1,2,3) and B(3,2,−1) .

i.e. PA=PB

⇒PA²=PB²

⇒(x−1)² +(y−2)² +(z−3)² =(x−3)2+(y−2)² +(z+1)²

⇒x² −2x+1+y² −4y+4+z²−6z+9

=x²−6x+9+y²−4y+4+z²+2z+1

⇒−2x−6z+14=−6x+2z+14

⇒−2x−6z+6x−2z=0

⇒4x−8z=0

⇒x−2z=0