MathematicsIn the following figure, PQ   is the common tangent to both the circles. SR and PT are tangents. If SR=4 cm,PT=7 cm,   then find RP.

In the following figure, PQ   is the common tangent to both the circles. SR and PT are tangents. If SR=4 cm,PT=7 cm,   then find RP.


  1. A
    1cm
  2. B
    2cm
  3. C
    3cm
  4. D
    4cm 

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    Solution:

    Given is a figure, SR=4 cm,PT=7 cm,  
    Tangent from the same points to a circle is equal in length,
    QR = RS and PQ = PT.
    Therefore, QR=RS=4 cm   and PQ=PT=7 cm  .
    PQ=QR+PR ⇒PR=PQ−QR ⇒PR=7−4 ⇒PR=3 cm  
    Thus, the required length is PR = 3 cm.
    Therefore, option (3) is correct.
     
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