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If two circles of radii 9 cm and 4 cm touch externally, then the length of a common tangent is   (SSC CGL 1st Sit. 2014)
  • a)
    5 cm
  • b)
    7 cm
  • c)
    8 cm
  • d)
    12 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If two circles of radii 9 cm and 4 cm touch externally, then the lengt...

In figure, AC = AO – CO
= 9 cm – 4 cm  = 5 cm {∵ CO = BO'}
Also, CB = OO' = 13 cm
In ΔABC
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If two circles of radii 9 cm and 4 cm touch externally, then the length of a common tangent is (SSC CGL 1st Sit. 2014)a)5 cmb)7 cmc)8 cmd)12 cmCorrect answer is option 'D'. Can you explain this answer?
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