2. Solved Papers
  3. Manipal Engineering

Manipal Engineering Manipal Engineering Solved Paper-2013

  • question_answer
    The number of rational values of m for which the\[y-\]coordinate of the point of intersection of the lines\[3x+2y=10\]and\[x=my+2\]is an integer is

    A)  2                                            

    B)  4

    C)  6                                            

    D)  8

    Correct Answer: C

    Solution :

    From the given equation,                 \[3(my+2)+2y=0\] \[\Rightarrow \]                       \[y(3m+2)=4\] \[\Rightarrow \]                                       \[y=\frac{4}{3m+2}\] since,\[y\in I\Rightarrow 3m+2\] \[\Rightarrow \]               \[\pm 1,\,\,\pm 2,\,\,\pm 4\] \[\Rightarrow \]\[m=-1,\,\,\frac{1}{3},\,\,-\frac{4}{3},\,\,0,\,\,\frac{2}{3},\,\,-2\]


You need to login to perform this action.
You will be redirected in 3 sec spinner