JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    If the planes \[3x-2y+2z+17=0\]and \[4x+3y-kz=25\] are mutually perpendicular , then \[k=\] [MP PET 1995]

    A)            3

    B)            ? 3

    C)            9

    D)            ? 6

    Correct Answer: A

    Solution :

               Obviously, \[3\times 4+(-2)\times 3+2\times (-k)=0\]                    \[\Rightarrow \,\,12-6-2k=\,0\Rightarrow \,\,k=3.\,\,\,\]

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