10th Class Mathematics Circles Question Bank Circles

  • question_answer Direction: OA and OB are radii and PA and PB are tangents of the circle, as shown in the given figure. If PB = 20 cm and OA = 15 cm, find the shortest distance between the circle and P.

    A)  25 cm                  

    B)         15 cm

    C)  30cm                   

    D)         10cm

    Correct Answer: D

    Solution :

     \[\therefore \]                 (since, PA= PB.) \[H.C.F.=\frac{\text{Product of the numbers}}{L.C.M.}\] Hence, the shortest distance between the circle is\[\text{5474}=\text{2}\times \text{7}\times \text{17}\times \text{23}\].


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