A rod AB of length 15 cm rests in between to coordinate axis in such a way that the end point a lies on x-axis and end point B lies on y-axis A point P(x,y) is taken on the rod in such a way that AP = 6cm if the rod moves with its end always touching the coordinate axis find the equation of the locus of the point P

A x²/81 + y²/36 = 1

B x²/36 + y²/81 = 1

C x²/36 + y²/9 = 1