JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    The angle between the planes \[2x-y+z=6\] and \[x+y+2z=7\] is  [MP PET 1991, 98, 2000, 01, 03; RPET 2001]

    A)            \[30{}^\circ \]

    B)            \[45{}^\circ \]

    C)            \[0{}^\circ \]

    D)            \[60{}^\circ \]

    Correct Answer: D

    Solution :

               \[\theta ={{\cos }^{-1}}\,\left[ \frac{2-1+2}{\sqrt{6}\sqrt{6}} \right]={{\cos }^{-1}}\left( \frac{3}{6} \right)={{60}^{o}}\].

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