• # 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

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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