The circles  x2+y2−10x+16=0 and x2+y2=r2 intersect each other in two distinct points if

Centres of the given circles are C1(5,0) and C2(0,0) and their radii are r1=3 and r2=r  respectively. For the circles to intersect at two distinct points, we must have r1−r22⇒2