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Railways Sample Paper RRB (Group D) 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 :

    [c] Here, \[20x\,+5y=3\] \[\Rightarrow 5y=-\,20x+3\] \[\therefore \,\,\,y=-\,4x+\frac{3}{5}\] Sloop of \[20x+5y=3p-4\] 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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