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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    The points\[(1,1),(-5,5)\]and\[(13,\lambda )\]lie on the same straight line, if\[\lambda \]is equal to:

    A)  7                                            

    B)  \[-7\]                   

    C)  \[\pm 7\]                           

    D)         0

    E)  14

    Correct Answer: B

    Solution :

    Since the given points lies on a line \[\left| \begin{matrix}    1 & 1 & 1  \\    -5 & 5 & 1  \\    13 & \lambda  & 1  \\ \end{matrix} \right|=0\] \[\Rightarrow \]\[1(5-\lambda )-1(-5-13)+1(-5\lambda -65)=0\] \[\Rightarrow \]               \[5-\lambda +18-5\lambda -65=0\] \[\Rightarrow \]                               \[-6\lambda =42\] \[\Rightarrow \]                               \[\lambda =-7\]


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