Question

Ab is a variable line sliding between the coordinate axes in such a way that a lies on x-axis and b lies on y-axis.If p is a variable point such that pa=b, pb=a, ab=a+b, find the equation of the locus of p.

Answer 1

AB is a variable line sliding between the co-ordinate Axes in such a way that A lies on x axis and B lies on y axis if Pis a variable point on AB such that PA=b PB=a and AB=a+b then equation of locus of P is

Ans (x/a)^2 +(y/b)^2=1

Answer 2

Answer:(x^2/a^2)+(y^2/b^2)=1