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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    The image of the origin with reference to the line\[4x+3y-25=0\]is:

    A) \[(-8,6)\]             

    B)         (8, 6)

    C)  \[(-3,4)\]            

    D)         \[(8,-6)\]

    E)  \[(-4,-3)\]

    Correct Answer: B

    Solution :

    Let the image or (reflection) of the origin with reference to the line\[4x+3y-25=0\]is\[(h,k)\] \[\therefore \]\[\frac{h-0}{4}=\frac{k-0}{3}=\frac{-2(0+0-25)}{16+9}=\frac{50}{25}=2\] \[\Rightarrow \]               \[\frac{h}{4}=2\Rightarrow h=8\] and        \[\frac{k}{3}=2\Rightarrow k=6\] \[\therefore \]Required point is (8, 6).


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