JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Mock Test - Three Dimensional Geometry

  • question_answer
    The plane \[\vec{r}\,\cdot \vec{n}=q\] will contain the line \[\vec{r}=\vec{a}+\lambda \vec{b}\], If

    A) \[\vec{b}\cdot \vec{n}\ne 0\], \[\vec{a}\,\cdot \vec{n}\ne q\]

    B) \[\vec{b}\,\cdot \vec{n}=0\],\[\vec{a}\cdot \vec{n}\ne q\]

    C) \[\vec{b}\cdot \vec{n}=0\],\[\vec{a}\,\cdot \vec{n}=q\]

    D) \[\vec{b}\,\cdot \vec{n}\ne 0\],\[\vec{a}\,\cdot \vec{n}=q\]

    Correct Answer: C

    Solution :

    [c] We must have \[\vec{b}\cdot \vec{n}=0\] and \[\vec{b}\cdot \vec{n}=q.\]


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