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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line

  • question_answer
    The straight lines \[\frac{x-1}{1}=\frac{y-2}{2}=\frac{z-3}{3}\]                                                                                     and \[\frac{x-1}{2}=\frac{y-2}{2}=\frac{z-3}{-2}\] are

    A)                                                               Parallel lines

    B)                                                               Intersecting at \[60{}^\circ \]

    C)                                                               Skew lines

    D)                                                               Intersecting at right angle

    Correct Answer: D

    Solution :

                    Since \[2\,(1)+2\,(2)+(-2)\,(3)=0.\]                                                               Hence lines are intersecting at right angles.


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