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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
        A line passes through the two points \[A(2,-3,-1)\]and\[B(8,-1,2)\]. The coordinates of a point on this line at a distance of 14 units from A are

    A)  (10, 7, 7)             

    B)  (14, 0, 5)

    C)  (86, 25, 41)                        

    D)  None of these

    Correct Answer: D

    Solution :

                    The equation of a line passing through the points\[A(2,-3,-1)\]and\[B(8,-1,2)\]is \[\frac{x-2}{6}=\frac{y+3}{2}=\frac{z+1}{3}\] \[\Rightarrow \]               \[\frac{x-2}{6/7}=\frac{y+3}{2/7}=\frac{z+1}{3/7}\] \[\therefore \]Coordinates of points on this line at a distance from A are given by \[\left\{ 2\pm \frac{6r}{7},-3\pm \frac{2r}{7},-1\pm \frac{3r}{7} \right\}\] On putting\[r=14,\]we get the required points as (14,1,5)and\[(-10,-7,-7)\].


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