# The ratios of distances from point p (x,y) to A (4,5)  and B(5,4) is 2:3 then find equations of locus

Arun
25763 Points
4 years ago
Dear Nikhil

PA/PB = 2/3

$\sqrt$(x-4)² + (y-5)² / $\sqrt$(x -5)² + (y -4)²  = 2/3
9 [(x-4)² + (y-5)²] = 4 [(x -5)² + (y-4)²]

Open it.
This will be locus of P