CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

What is the distance between the points of tangency of a common tangent AB to two circles I and II which are externally tangent to each other. The radii of the two circles are 9 and 16 units.

 



Correct Answer
A

24

Your Answer
B

22

Your Answer
C

27

Your Answer
D

17√3


Solution

The correct option is A

24



From the diagram above, AC1=16
and BC2=9.
Also C1 - C2=25.
PC1 = 7 (16-9)
AB=PC2
C1 - P - C2 is a right angled triangle
(C1C2)2 = PC12+PC22 
Thus, PC2 =62549
= 576 = 24 

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image