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Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-1

  • question_answer
    The line passing through \[(-2,5)\] and \[(6,b)\] is perpendicular to the line\[20x+5y=3\]. Find b?

    A)  \[-7\]              

    B)         \[4\]                

    C)         \[7\]               

    D)         \[-4\]                           

    Correct Answer: C

    Solution :

    Here, \[20x+5y=3\]             \[\Rightarrow \]   \[5y=-20x+3\]             \[\therefore \]      \[y=-4x+\frac{3}{5}\] Slope of  \[20x+5y=3\,\,\,\,Io-4\] We know, product of slopes \[=-1\]for perpendicular lines Hence, the slope of the line which passes through \[(-2,5)\] and \[(6,b)=\frac{b-5}{6-(-2)}\] Now,             \[\frac{b-5}{6+2}=\frac{1}{4}\] \[\Rightarrow \]   \[b-5=2\] \[\therefore \]      \[b=5+2=7\]


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