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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line and Plane

  • question_answer
    The line \[\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}\] is parallel to the plane

    A)            \[2x+3y+4z=29\]

    B)            \[3x+4y-5z=10\]

    C)            \[3x+4y+5z=38\]

    D)            \[x+y+z=0\]

    Correct Answer: B

    Solution :

                       Conversely,            From option  \[\Rightarrow \,\,3\times 2+4\times 3+5\times 4\ne 0\]                    From option  \[\Rightarrow \,\,3\times 3+4\times 4-5\times 5=0\].


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