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.
Options:
A .  
24
B .  
22
C .  
27
D .  
17√3
Answer: Option A : A
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 (C1−C2)2 = PC12+PC22 Thus, PC2 =√625−49 = √576 = 24
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