JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    The equation of the plane through (1, 2, 3) and parallel to the plane \[2x+3y-4z=0\]is [MP PET 1990]

    A)            \[2x+3y+4z=4\]

    B)            \[2x+3y+4z+4=0\]

    C)            \[2x-3y+4z+4=0\]

    D)            \[2x+3y-4z+4=0\]

    Correct Answer: D

    Solution :

               Plane parallel to the plane \[2x+3y-4z=0\] is \[2x+3y-4z+k=0\]        .....(i) Also plane (i) is passing through (1, 2, 3) \[\therefore \] \[(2)\,(1)+(3)(2)-(4)(3)+k=0\Rightarrow k=4\] \[\therefore \] Required plane is \[2x+3y-4z+4=0\].

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