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Q.


Find the length of the transverse common tangent to two circle of radii 8 cm and 3 cm, the centers of the circles be at a distance 13 cm is

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a

3 cm

b

23 cm

c

33 cm

d

43 cm 

answer is D.

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Detailed Solution

Radius or first circle r1=8 cm
Radius or second circle  r2=3 cm
Distance between the circles d=13 cm
Now, distance between two transverse common tangents can be given as,
=d2-r1+r22
=(13)2-(8+3)2
=169-121=48 The common tangent's length =43 cm
Option 4 is correct.
 
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