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SSC Quantitative Aptitude Circular Measurement Question Bank Circle and Its Properties (I)

  • question_answer
    A and B are centres of two circles of radii 11 cm and 6 cm, respectively. PQ is a direct common tangent to the circle. If AB = 13 cm, then length of PQ Will be  [SSC CGL Tier II, 2015]

    A) 13 cm

    B) 8.5 cm

    C) 12 cm

    D) 17 cm

    Correct Answer: C

    Solution :

    [c] Required length of \[PQ=\sqrt{{{13}^{2}}-{{(11-6)}^{2}}}\] \[=\sqrt{169-{{(5)}^{2}}}\] \[=\sqrt{169-25}\] \[=\sqrt{144}=12\,cm\]


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