What is the equation of this curve with P given? The difference of the distance between P(x,y) and the points (-2,1) and (8,1) is 6.
1 Answer
Explanation:
let the point be
Now according to question we have points
also, the difference between the distances of the point is 6 units
or
by distance formula we have
putting these in
we get
on solving we'll get
this represents a hyperbola,
graph{16x^2-9y^2-96x+18y-9=0 [-16.02, 16.02, -8.01, 8.01]}
this will be the equation of variable point
this is called the LOCUS of point