JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line and Plane

  • question_answer
    The angle between the line \[\frac{x-1}{2}=\] \[\frac{y-2}{1}=\frac{z+3}{-2}\] and the plane \[x+y+4=0\], is [MP PET 1999]

    A)            \[0{}^\circ \]

    B)            \[30{}^\circ \]

    C)            \[45{}^\circ \]

    D)            \[90{}^\circ \]

    Correct Answer: C

    Solution :

                \[\sin \theta =\frac{2+1}{\sqrt{2}\times \sqrt{9}}\,\,\Rightarrow \,\,\theta ={{45}^{o}}\].


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