10th Class Mathematics Circles Question Bank Circle

  • question_answer
    Two circles with centres \[{{C}_{1}}\] and \[{{C}_{2}}\], and radii 9 cm and 6 cm meet each other externally at one point only. Find the length of their common tangent PQ.

    A)  8 cm                           

    B)  \[8\sqrt{2}\]

    C)  \[6\sqrt{6}\]

    D)  \[2\sqrt{6}\]

    Correct Answer: C

    Solution :

    (c): \[{{C}_{1}}{{C}_{2}}=15R{{C}_{1}}=3\] \[\Rightarrow \] \[R{{C}_{2}}=\sqrt{{{15}^{2}}-{{3}^{2}}}=\sqrt{216}=6\sqrt{6}\] But \[\,R{{C}_{2}}=PQ=6\sqrt{6}\]                  


You need to login to perform this action.
You will be redirected in 3 sec spinner