10th Class Mathematics Circles Question Bank Circle

  • question_answer
    In the given figure, OP is a radius and PT is a tangent to the circle. If OP = 9 cm and PT = 40 cm, find the distance between T and S

    A)  28 cm                         

    B)  38 cm       

    C)  32 cm  

    D)  24 cm

    Correct Answer: C

    Solution :

    (c): \[{{\left( OS+TS \right)}^{2}}={{40}^{2}}+{{9}^{2}}={{\left( 41 \right)}^{2}}\]\[\Rightarrow \] \[TS=41-9=32\]                               


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