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

  • question_answer
    The equation of line passing through (c, d) and  parallel to \[ax+by+c=0,\]is                                             [RPET 1987]

    A)            \[a(x+c)+b\,(y+d)=0\]          

    B)            \[a(x+c)-b(y+d)=0\]

    C)            \[a(x-c)+b(y-d)=0\]                

    D)            None of these

    Correct Answer: C

    Solution :

               The required equation which passes through (c, d) and its gradient is \[-\frac{a}{b}\], is  \[y-d=-\frac{a}{b}(x-c)\]                    \[\Rightarrow a(x-c)+b(y-d)=0\].


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