Class 12

Math

3D Geometry

Conic Sections

$AB$
is a variable line sliding between the coordinate axes in such a way that $A$
lies on the x-axis and $B$
lies on the y-axis. If $P$
is a variable point on $AB$
such that $PA=b,Pb=a$
, and $AB=a+b,$
find the equation of the locus of $P˙$