CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    Area of the triangle formed by the lines\[y=2x,\]\[y=3x\]and\[y=5\]is equal to (in square unit)

    A)  \[\frac{25}{6}\]                               

    B)  \[\frac{25}{12}\]

    C)  \[\frac{5}{6}\]                  

    D)         \[\frac{17}{12}\]

    E)  \[6\]

    Correct Answer: B

    Solution :

    The intersection points of given lines are \[(0,0),\left( \frac{5}{2},5 \right),\left( \frac{5}{3},5 \right)\] \[\therefore \]0               Area of\[\Delta =\frac{1}{2}\left| \begin{matrix}    0 & 0 & 1  \\    \frac{5}{2} & 5 & 1  \\    \frac{5}{3} & 5 & 1  \\ \end{matrix} \right|\]                 \[=\frac{1}{2}\left[ 1\left( \frac{25}{2}-\frac{25}{3} \right) \right]\]                 \[=\frac{1}{2}\times \frac{25}{6}\]                 \[=\frac{25}{12}sq\,unit\]           


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