Find the equation of the set of the points P such that its distances from the points `A (3, 4, -5)`and B `( -2, 1, 4)`are equal.

Explanation

Given: Points are `A(3, 4, -5) ` and `B(-2, 1, 4) `

Let the required point `P(x, y, z)`

Given: PA = PB

`⇒ PA^2 = PB^2`

The distance between any two points (a, b, c) and (m, n, o) is given by,

=`>√(a−m)^2+(b−n)^2+(c−o)^2`

Thus, The distance between P(x, y, z) and A(3, 4, -5) is PA,


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