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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Critical Thinking

  • question_answer
    The value of k such that \[\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}\] lies in the plane \[2x-4y+z=7\], is [IIT Screening 2003]

    A) 7

    B) - 7

    C) No real value

    D) 4

    Correct Answer: A

    Solution :

    • Point (4, 2, k) should lie in the given plane                   
    • Þ  \[2(4)-4(2)+1(k)=7\Rightarrow k=7.\]


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