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Q.

Find the length of the transverse common tangent.


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a

52

b

7

c

55

d

51 

answer is D.

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Detailed Solution

Given,
Radius of bigger circle r1=4 cm
Radius of smaller circle r2=3 cm
Question Image Distance between circle’s centre,
⇒d=4+3+3⇒d=10 cm
Transverse common tangent length,
=d2-(r1+r2)2
=(10)2-(4+3)2
=100-(7)2
=100-49
=51
So, option 4 is the right answer.
 
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