CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    Distance between the lines\[5x+3y-7=0\]and \[15x+9y+14=0\]is:

    A)  \[\frac{35}{\sqrt{34}}\]                

    B)         \[\frac{1}{3\sqrt{34}}\]

    C)         \[\frac{35}{3\sqrt{34}}\]                             

    D)         \[\frac{35}{2\sqrt{34}}\]

    E)         35

    Correct Answer: C

    Solution :

    Distance between\[5x+3y-7=0\]and \[15x+9y+14=0\]is                 \[=\left| \frac{-7-\frac{14}{3}}{\sqrt{{{5}^{2}}+{{3}^{2}}}} \right|\]                 \[=\left| \frac{-35}{3\sqrt{34}} \right|=\frac{35}{3\sqrt{34}}\]


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