JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    If for a plane, the intercepts on the coordinate axes are 8, 4, 4 then the length of the perpendicular from the origin on to the plane is [Kerala (Engg.) 2005]

    A)            8/3

    B)            3/8

    C)            3

    D)            4/3

    E)            4/5

    Correct Answer: A

    Solution :

               Equation of plane is, \[\frac{x}{8}+\frac{y}{4}+\frac{z}{4}=1\]Þ \[x+2y+2z=8\]                    Length of the perpendicular from the origin on the plane \[=\left| \frac{-8}{\sqrt{{{1}^{2}}+{{2}^{2}}+{{2}^{2}}}} \right|=\frac{8}{3}\].


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