Find the length of PQ :

A and B are centres of two circles of radii 11 cm and 6 cm, respectively. PQ is a direct common tangent to the circles, If AB=13 cm, then length of PQ will be

  1. 17 cm
  2. 12 cm
  3. 13 cm
  4. 8.5 cm
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 12 cm 

    Explanation:-
    According to the question,
    In the figure –

    RE: Find the length of PQ :


    Common tangent CE = (132 – 52)1/2
    = (169 – 24)1/2
    = (144)1/2
    = 12 cm
    Then, the length of common tangent is 12 cm.

    Hence, the answer is (2) 12 cm.

    Anurag Mishra Professor Answered on 27th October 2015.
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