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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2000

  • question_answer
    The line \[x+y=4\]divides the line joining\[(-1,1)\] and \[(5,7)\] in the ratio\[\lambda :1,\] then the value of\[\lambda \] is:

    A)  2                                            

    B)  \[1/2\]

    C)  3                                            

    D)  none of these

    Correct Answer: B

    Solution :

    The co-ordinates of the point dividing the line joining (-1,1) and (5, 7) in the ratio \[\lambda :1\] are \[\left( \frac{5\lambda -1}{\lambda +1},\frac{7\lambda +1}{\lambda +1} \right)\] This point lies on\[x+y=4.\] Therefore, \[5\lambda -1+7\lambda +1=4\lambda +4\Rightarrow 8\lambda =4\]\[\Rightarrow \]\[\,\lambda =1/2\]


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