10th Class Mathematics Circles Question Bank Circle

  • question_answer
    A tangent PT touches a circle at N. MN is a chord such that \[\angle MNT=63{}^\circ \].
    Find \[\angle MON\], where O is the centre of the circle.

    A)  \[157.5{}^\circ \]                     

    B)  \[100{}^\circ \]          

    C)  \[94.5{}^\circ \]                      

    D)  \[126{}^\circ \]

    Correct Answer: D

    Solution :

    (d): Use alternate segment theorem, \[\angle MLN=63{}^\circ \] then \[\angle MON=2\times \angle MLN\]


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