In the following figure, two circles with center A and B touch a larger circle with center O internally. The ratio of the radii of circle A to circle B is 7:9.
Quantity A: OA
Quantity B: OB
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from information given.
Since the radius of circle B is bigger than the radius of circle A, I concluded that the center point of B is closer to point O which means that OA is greater. However this practice test I'm taking says that the relationship cannot be determined. This practice test has already led me astray a couple times with bad answers, is this another instance of that or why can't we determine which line segment is longer?