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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    If O be the origin and the co-ordinates of P be (1, 2, ?3), then the equation of the plane passing through P and perpendicular to OP is       

    A)            \[x-2y+3z+12=0\]

    B)            \[2x+3y-z-11=0\]

    C)            \[x+2y-3z-14=0\]

    D)            \[x+2y-3z=0\]

    Correct Answer: C

    Solution :

               Equation of plane passing through \[P(1,\,2,\,-3)\] and perpendicular  to OP is, \[1\,(x-1)+2\,(y-2)-3\,(z+3)=0\]                    or \[x+2y-3z-14=0\].


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