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J & K CET Engineering J and K - CET Engineering Solved Paper-2011

  • question_answer
    The ratio in which ZX-plane divides the line segment AB joining the points \[A(4,2,3)\] and \[B(-2,4,5)\] is equal to

    A)  \[1:2\] internally  

    B)  \[1:2\] externally

    C)  \[-1:2\]           

    D)  None of these

    Correct Answer: B

    Solution :

    Let \[\lambda :1\] be the ratio in which ZX-plane divides the line segment AB. Day By section formula \[=\left( \frac{2\lambda +4}{\lambda +1},\frac{4\lambda +2}{\lambda +1},\frac{5\lambda +3}{\lambda +1} \right)\] For ZX-plane Cording of \[y=0\] \[\frac{4\lambda +2}{\lambda +1}=0\] \[\Rightarrow \] \[\lambda =-1/2\] \[\Rightarrow \] \[\lambda :1=-1:2\] Hence, ZX-plane i.e., point P divides the line segment AB in the ratio \[1:2\] externally.


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