$A B$ 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 $A B$ such that $P A = b, P b = a$ , and $A B = a + b,$ find the equation of the locus of $P ˙$

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Charlotte Discussed

A B

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

A B

such that

P A = b, P b = a

, and

A B = a + b,

find the equation of the locus of

P ˙

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