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9th Class Mathematics Circles Question Bank Circles

  • question_answer
    In the given figure, if PQRS is a cyclic quadrilateral with respective angles. Then, the ratio of\[x\]and y is ____.

    A)  1 : 3                            

    B)         5 : 6                

    C)         2 : 3                            

    D)         None of these

    Correct Answer: B

    Solution :

    Given, PQRS is a cyclic quadrilateral. \[\therefore \] \[\angle PSR+\angle PQR=\angle QPS+\angle QRS={{180}^{o}}\] \[\Rightarrow \]\[2y+3y=2x+4x\] \[\Rightarrow \]\[5y=6x\Rightarrow \frac{x}{y}=\frac{5}{6}\]i.e., 5 : 6


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