JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2006

  • question_answer
        The equation of a line passing through\[(-2,-4)\] and perpendicular to the line\[3x-y+5=0\]is

    A)  \[3y+x-8=0\]    

    B)  \[3x+y+6=0\]

    C)  \[x+3y+14=0\]

    D)  none of these

    Correct Answer: C

    Solution :

                    Key Idea: Equation of line perpendicular to \[ax+by+c=0\]is\[bx-ay+\lambda =0.\] The equation of line perpendicular to line \[3x-y+5=0\] is\[-x-3y+\lambda =0\]   ...(i) Also if passes through\[(-2,-4)\]. \[\Rightarrow \]               \[+2+12+\lambda =0\] \[\Rightarrow \]                               \[\lambda =-14\] \[\therefore \]Required equation of line is \[-x-3y-14=0\] \[\Rightarrow \]        \[x+3y+14=0\].         [from(i)]


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