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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    If the product of distances of the point (1, 1, 1) from the origin and the plane \[x-y+z+k=0\] be 5, then  k =

    A)            ? 2

    B)            ?3

    C)            4

    D)            7

    Correct Answer: C

    Solution :

                \[\sqrt{1+1+1}\,.\,\left( \frac{1-1+1+k}{\sqrt{3}} \right)=\pm \,5\] or \[k=\pm \,5-1=4,\,\,-\,6\].


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