Find the equation of the set of points P,the sum of whose distances from A(4,0,0)and B(-4,0,0) is 10 - Maths - Introduction to Three Dimensional Geometry

Question

Find the equation of the set of points P,the sum of whose
distances from A(4,0,0)and B(-4,0,0) is 10

Priyanka Kedia · Accepted Answer

Let the coordinate of P be (h, k, l) Given: PA+PB= 10 Therefore,

Taking square on both sides, we get,

which is the required locus of P