JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line

  • question_answer
    The equation of the line passing through the points ( 3, 2, 4) and (4, 5, 2) is

    A)                                                               \[\frac{x+3}{1}=\frac{y+2}{3}=\frac{z+4}{-2}\]

    B)                                                               \[\frac{x-3}{1}=\frac{y-2}{3}=\frac{z-4}{-2}\]

    C)                                                               \[\frac{x+3}{7}=\frac{y+2}{7}=\frac{z+4}{6}\]

    D)                                                               \[\frac{x-3}{7}=\frac{y-2}{7}=\frac{z-4}{6}\]

    Correct Answer: B

    Solution :

                     Required line is \[\frac{x-3}{4-3}=\frac{y-2}{5-2}=\frac{z-4}{2-4}\]                                                               i.e., \[\frac{x-3}{1}=\frac{y-2}{3}=\frac{z-4}{-2}\].


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