AB is a variable lines sliding between the coordinate axes in such a way that A lies on x-axis and B lies on y-axis. The P is a variable point on AB such that `PA=b, PB=a` and `AB=a+b`, then the equation of the locus of P is

Options

A. `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`
B. `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`
C. `x^(2)+y^(2)=a^(2)+b^(2)`
D. `x^(2)-y^(2)=a^(2)-b^(2)`

Answer

A