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JEE Main & Advanced Mathematics Straight Line Question Bank Slope of line, Equation of line in different forms

  • question_answer
    A line passes through the point of intersection of \[2x+y=5\] and \[x+3y+8=0\] and parallel to the line \[3x+4y=7\] is   [RPET 1984; MP PET 1991]

    A)            \[3x+4y+3=0\]                      

    B)            \[3x+4y=0\]

    C)            \[4x-3y+3=0\]                        

    D)            \[4x-3y=3\]

    Correct Answer: A

    Solution :

               Point of intersection \[y=-\frac{21}{5}\]and \[x=\frac{23}{5}\]                    \[\therefore \] \[3x+4y=\frac{3(23)+4(-21)}{5}=\frac{69-84}{5}=-3\].                    Hence, required line is\[3x+4y+3=0\].


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