JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    The equation of the plane through the point (1, 2, 3 ) and parallel to the plane \[x+2y+5z=0\]is      [DCE 2002]

    A)            \[(x-1)+2(y-2)+5(z-3)=0\]

    B)            \[x+2y+5z=14\]

    C)            \[x+2y+5z=6\]                           

    D)            None of these

    Correct Answer: A

    Solution :

               Equation of plane passing through the point (1, 2, 3) is \[A(x-1)+B(y-2)+C(z-3)=0\]        .....(i)            Plane (i) is parallel to plane \[x+2y+5z=0\]            \ \[(x-1)+2(y-2)+5(z-3)=0\] is the required plane.

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