IlCreatore wrote:

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

The explanation provided on the test is not very informative. It says "Solve"

Any hint?

Given

\(\frac{RA}{RB}\)=\(\frac{7}{9}\)⇒RB>RA

This works only if the centre A is

tangent to the centre O, then

OA=RO−RA

Similarly If the circle with center B is

tangent to the circle with center in O we would have:

OB=RO−RB

Therefore we would have RB>RA and OA>OB.

I think some point is missing in the ques.

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