BCECE Engineering BCECE Engineering Solved Paper-2011

  • question_answer
    The distance between the lines \[y=2x+4\]and \[3y=6x-5\] is equal to

    A)  1                                            

    B)         \[3/\sqrt{5}\]

    C)         \[\frac{17\sqrt{5}}{15}\]                   

    D)         \[\frac{17}{\sqrt{3}}\]

    Correct Answer: C

    Solution :

    Since lines \[y-2x-4=0\]and \[y-2x+\frac{5}{3}=0\] are parallel. Distance \[=\left| \frac{{{c}_{2}}-{{c}_{1}}}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right|=\left| \frac{\frac{5}{3}+4}{\sqrt{4}+1} \right|=\frac{17\sqrt{5}}{15}\]


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