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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    A line joining the points (1, 2, 0) and (4, 13, 5) is perpendicular to a plane. Then the coefficients of x, y and z in the equation of the plane are respectively [J & K 2005]

    A)            5, 15, 5

    B)            3, 11, 5

    C)            3, ?11, 5

    D)            ? 5, ? 15, 5

    Correct Answer: B

    Solution :

               Since d.r's of line is also the d.r's of normal to the plane,                    \[\therefore \] Required coefficient of \[x,y\] and z will be                    \[(4-1),(13-2),(5-0)\] i.e.,\[(3,\,11,\,5)\].


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