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[" AB is a variable line sliding between the co-rdinate axes in such a way that Alies on "X" -axis and Blles "],[" on "Y" -axis.If "P" is a varable point on "AB" such that "PA=b" ,PB "=a" and "AB=a+b" ,then equation of 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)=a^(2)+b^(2)," (D) "x^(2)-y^(2)=a^(2)+b^(2)]]

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