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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 a straight line passing through \[x+2y=2\]and cutting an intercept equal in magnitude but opposite in sign from the axes is given by          [RPET 1984; MP PET 1993]

    A)            \[x-y+5=0\]                             

    B)            \[x+y-5=0\]

    C)            \[x-y-5=0\]                               

    D)            \[x+y+5=0\]

    Correct Answer: A

    Solution :

               Let the equation be \[\frac{x}{a}+\frac{y}{-a}=1\Rightarrow x-y=a\]                    But it passes through\[(-3,\,2)\], hence \[a=-3-2=-5\]. Hence the equation is \[x-y+5=0\].


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