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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

10 cm

B

3 cm

C

6cm

D

8cm

Text Solution

Verified by Experts

The correct Answer is:
3
`(r_(1))/(r_(2))=(5)/(3)`
`:. (r_(1)+r_(2))/(r_(2))=(8)/(3)`
`:. r_(2)=((40-24)3)/(8)=6 cm`
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CENGAGE-CIRCLE -Exercise (Comprehension)
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  14. Let A,B, and C be three sets such that A={(x,y)|(x)/(cos theta)=(y)/...

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  19. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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