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

  • question_answer
    The equation of a line passing through the point of intersection of the lines \[x+5y+7=0,\ \ 3x+2y-5=0,\] and perpendicular to the line \[7x+2y-5=0,\] is given by  [RPET 1987; MP PET 1993; Pb. CET 2000]

    A)            \[2x-7y-20=0\]                        

    B)            \[2x+7y-20=0\]

    C)            \[-2x+7y-20=0\]                    

    D)            \[2x+7y+20=0\]

    Correct Answer: A

    Solution :

               Point of intersection of the lines is (3, ?2).                    Hence the equation is\[2x-7y=2(3)-7(-2)=20\].


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