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In the given figure, there are two circl...

In the given figure, there are two circles with centers A and B. The common tangent to the circles touches them, respectively,at P and Q. AR is 40cm and AB is divided by the point of contact of the circles in the ratio `5:3`

The radius of the circle with center B is

A

`1:4`

B

`2:3`

C

`2:5`

D

`7:4`

Text Solution

Verified by Experts

The correct Answer is:
2
`(r_(1))/(r_(2))=(5)/(3)=(AR)/(BR)` or `BR=(3 xx 40)/(5) =25 ` cm
`(AB)/(BR)=(40-24)/(24)=(16)/(24)=(2)/(3)`
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