JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line

  • question_answer
    Direction ratios of the line represented by the equation \[x=ay+b,\] \[z=cy+d\] are

    A)                                                               (a, 1, c)

    B)                                                               (a, b ? d, c)

    C)                                                               (c, 1, a)

    D)                                                               (b, ac, d)

    Correct Answer: A

    Solution :

                     \[x-ay-b=0\] and \[cy-z+d=0\]                 \[\therefore \,\] If l, m, n are direction cosines, then \[\frac{l}{a}=\frac{m}{1}=\frac{n}{c}\].                                                               Hence direction ratios are (a, 1, c).


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