10th Class Mathematics Circles Question Bank Circles

  • question_answer PQ is a chord of a circle .the tangent XR at X on the circle cuts PQ produced at R. If\[\text{XR}=\text{12 cm}\],\[\text{PQ }=x\] cm, \[\text{QR}=(x-2)\text{cm}\], find\[x\]in cm.

    A)  6                                            

    B)  7

    C)  10                         

    D)         14

    Correct Answer: C

    Solution :

     \[\Rightarrow \] \[p(-1)={{(-1)}^{2}}+3(-1)-2=(-4)\] \[p(-1)=-4\] \['x'\] \[1441\times x=5040\times 12\] Hence, the value of \[\Rightarrow \] (in cms) = 10 cm.

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