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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

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`

D

`a^2+b^2`

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The correct Answer is:
A
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