Locus

Geometry Level pending

There is a rectangle BOAP with O on the origin, B on the y-axis and A on the x-axis. a perpendicular is dropped from point P on the diagonal AB at point E . Length of the diagonal is 8 units, Find the locus of the point E ?

[ x^{2/3} + y^{2/3} ] = 8 [ x^{2/3} + y^{2/3} ] = 16 [ x^{2} + y^{2} ] = 16 [ x^{2} + y^{2} ] = 4 [ x^{2/3} + y^{2/3} ]= 4 [ x^{2} + y^{2} ] = 8