If a circle of radius R passes through the origin O and intersects the coordinate axes at A and B, the locus of the foot of perpendicular from O on AB is : [JEE-MAIN ONLINE-2]
(1) (x2+y2)2=4Rx2y2
(2) (x2+y2)(x+y)=R2xy
(3) (x2+y2)3=4R2x2y2
(4) (x2+y2)2=4R2x2y2