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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 the line passes through \[(a,\ b)\]and parallel to the line \[\frac{x}{a}+\frac{y}{b}=1,\]is                                             [RPET 1986, 95]

    A)            \[\frac{x}{a}+\frac{y}{b}=3\]      

    B)            \[\frac{x}{a}+\frac{y}{b}=2\]      

    C)            \[\frac{x}{a}+\frac{y}{b}=0\]      

    D)            \[\frac{x}{a}+\frac{y}{b}+2=0\]

    Correct Answer: B

    Solution :

               The required equation is \[y-b=-\frac{b}{a}(x-a)\]                    \[\Rightarrow \frac{x}{a}+\frac{y}{b}=2\].


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