CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    A line has slope m and \[y-\]intercept 4. The distance between the origin and the line is equal to

    A)  \[\frac{4}{\sqrt{1-{{m}^{2}}}}\]                

    B)  \[\frac{4}{\sqrt{{{m}^{2}}-1}}\]

    C)  \[\frac{4}{\sqrt{{{m}^{2}}+1}}\]               

    D)         \[\frac{4m}{\sqrt{1+{{m}^{2}}}}\]

    E)  \[\frac{4m}{\sqrt{m-1}}\]

    Correct Answer: C

    Solution :

    Equation of line is \[y=mx+4\] \[\therefore \]Required distance\[=\frac{4}{\sqrt{1+{{m}^{2}}}}\]


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