VIT Engineering VIT Engineering Solved Paper-2015

  • question_answer
    The two lines x = my + n,   z = py + q  and x = m? y + n?, z = p? y + q? are perpendicular to each other, if

    A) \[mm'+pp'=1\] 

    B) \[\frac{m}{m'}+\frac{p}{p'}=-1\]

    C) \[\frac{m}{m'}+\frac{p}{p'}=1\]                

    D) \[mm'+pp'=-1\]

    Correct Answer: D

    Solution :

    Given equations off lines are x = my + n, z = py + q and  x = m? y + n?, z = p? y + q? These equations can be rewritten as\[\therefore \] and        \[{{V}_{A}}:{{V}_{N}}={{10}^{15}}:1\] These lines will be perpendicular, if                   mm' + 1 pp? = 0 \[{{T}_{1/2}}=4.47\times {{10}^{8}}yr\]            mm? + pp? = - 1


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