JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    The equation of the plane passing through  (2, 3, 4) and  parallel  to the plane \[5x-6y+7z=3\] [Kerala (Engg.) 2002]

    A)            \[5x-6y+7z+20=0\]

    B)            \[5x-6y+7z-20=0\]

    C)            \[-5x+6y-7z+3=0\]

    D)            \[5x+6y+7z+3=0\]

    Correct Answer: B

    Solution :

               Equation of the plane passing through (2, 3, 4) is, \[A(x-2)+B(y-3)+C(z-4)=0\]    ?..(i)            Plane (i) is parallel to \[5x-6y+7z=3\]            \[\therefore \]  \[5(x-2)-6(y-3)+7(z-4)=0\]                    \[\therefore \]  \[5x-6y+7z-20=0\] is the required plane.

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