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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-25

  • question_answer
    PQ is a tangent to the circle at R, then then is\[m\,\,\angle PRS\] equal to

    A)  \[30{}^\circ \]             

    B)  \[40{}^\circ \]

    C)  \[60{}^\circ \]             

    D)  \[80{}^\circ \]

    Correct Answer: C

    Solution :

    \[m\,\,\angle TRQ=m\,\,\angle RST\] [Angles in alternate segment] But \[m\,\,\angle TRQ=30{}^\circ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow m\,\,\angle RST=30{}^\circ \] Also, \[m\,\,\angle SRT=90{}^\circ \] \[\therefore \,\]\[m\,\,\angle RTS=180{}^\circ -(90{}^\circ +30{}^\circ )=60{}^\circ \] \[\Rightarrow \]\[m\,\angle PRS=m\,\,\angle RTS\,\,\,\,\,\,\,\,\,\Rightarrow \angle PRS=60{}^\circ \]


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