If the two circles \[{{(x-1)}^{2}}+{{(y-3)}^{2}}={{r}^{2}}\] and \[{{x}^{2}}+{{y}^{2}}-8x+2y+8=0\] intersect in two distinct points, then
AIEEE Solved Paper-2003
A)\[2<r<8\]
B)\[r<2\]
C) \[r=2\]
D) \[r>2\]
Correct Answer:
A
Solution :
Two circles of radii and respectively intersect in two distinct points, if . The equation of first circle is Centre (1, 3) and radius and equation of second circle is Centre (4, - 1) and radius Two circles intersect in two distinct points, then and and