A) These circles touch each other
B) One of these circles lies entirely inside the other
C) Each of these circles lies outside the other
D) They intersect in two points
Correct Answer: B
Solution :
Centres and radii of the given circles are Centres: \[{{C}_{1}}(0,\ 1),\ {{C}_{2}}(1,\ 0)\]; Radii : \[{{r}_{1}}=3,\ {{r}_{2}}=5\]. Clearly, \[{{C}_{1}}{{C}_{2}}=\sqrt{2}<({{r}_{2}}-{{r}_{1}})\]. Therefore one circle lies entirely inside the other.
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