10th Class Mathematics Circles Question Bank Circle

  • question_answer
    LM is a diameter of a circle with centre O. Tangent PT touches the circle at N. If\[\angle MLN=40{}^\circ \], find\[\angle LNP\].

    A)  \[45{}^\circ \]                         

    B)  \[80{}^\circ \]          

    C)  \[50{}^\circ \]        

    D)  \[140{}^\circ \]

    Correct Answer: C

    Solution :

    (c): By alternate segment theorem, \[\angle LNP=\angle LMN;\] also \[\angle LNM=90{}^\circ \].                  


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