x^(2)-10x+16

The two circles x^(2)+y^(2)=r^(2) and x^(2)+y^(2)-10x+16=0 intersect at two distinct points.Then

The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=a^(2) intersect at two distinct point if

The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=a^(2) intersect at two distinct points if

The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect each other in distinct points, if

The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=r^(2) intersect each other in two distinct points if

S={(x,y)|x,y in R,x^(2)+y^(2)-10x+16=0} The largest value of (y)/(x) can be put in the form of (m)/(n) where m,n are relatively prime natural numbers,then m^(2)+n^(2)=

If the circle x^(2)+y^(2)-10x+16y+89-r^(2)=0 and x^(2)+y^(2)+6x-14y+42=0 have common points, then the number of possible integral values of r is equal to